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Spaces of Riemannian metrics (Q2462068)

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Language	Label	Description	Also known as
English	Spaces of Riemannian metrics	scientific article

Statements

scholarly article

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Spaces of Riemannian metrics (English)

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Journal of Mathematical Sciences (New York)

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publication date

23 November 2007

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zbMATH Keywords

compact manifold

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Riemannian metric

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space of Riemannian metrics

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finite-dimensional manifold

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Nicolai Konstantinovich Smolentsev

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10958-007-0185-3

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Transversality in manifolds of mappings

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Resolution of singularities of plane deformations of double rational points

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CONJUGACY OF POLAR FACTORIZATIONS OF LIE GROUPS

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Numerical range of operator pencils and Keldysh multiple completeness

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Homogeneous Ricci positive 5-manifolds

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The \(L^ 2\) structure of moduli spaces of Einstein metrics on 4- manifolds

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Symplectic 4-manifolds with Hermitian Weyl tensor

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Local rigidity of certain classes of almost Kähler 4-manifolds

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Almost Kahler 4-manifolds with J-invariant ricci tensor and special weyl tensor

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Critical points of the total scalar curvature plus total mean curvature functional

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The various definitions of the derivative in linear topological spaces

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Quelques formules de variation pour une structure riemannienne

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Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)

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Some decompositions of the space of symmetric tensors on a Riemannian manifolds

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Contact manifolds in Riemannian geometry

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Second Variation of the "Total Scalar Curvature" on Contact Manifolds

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Critical Riemannian manifolds

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Low-dimensional homogeneous Einstein manifolds

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A variational approach for compact homogeneous Einstein manifolds

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Vector fields and Ricci curvature

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Scalar Curvature Functions in a Conformal Class of Metrics and Conformal Transformations

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Stability of vector bundles and extremal metrics

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Characteristic forms and geometric invariants

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Twistor Spaces with Hermitian Ricci Tensor

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On Bianchi identities

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Quantum Theory of Gravity. I. The Canonical Theory

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On some 4-dimensional almost Kähler manifolds

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A fibre bundle description of Teichmüller theory

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ON SUBMANIFOLDS OF CERTAIN FUNCTION SPACES

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Groups of diffeomorphisms and the motion of an incompressible fluid

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The Banach manifold structure of the space of metrics on noncompact manifolds

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Spaces of Riemannian metrics on open manifolds

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Geometry of manifolds of maps

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On Variations of Metrics.

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The Yamabe problem on manifolds with boundary

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Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary

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Conformal deformation of a Riemannian metric to a constant scalar curvature metric with constant mean curvature on the boundary

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Infinitesimal conjugacies and Weil-Petersson metric

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Unfolding the singularities in superspace

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Resolving the singularities in the space of Riemannian geometries

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Deformations of the scalar curvature

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The Manifold of Conformally Equivalent Metrics

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On the Weil-Petersson Metric on Teichmuller Space

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A New Proof that Teichmuller Space is a Cell

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The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group

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Coarse moduli space for polarized compact Kähler manifolds

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Remarks on extremal Kähler metrics on ruled manifolds

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The moduli space of Kähler structures on a real compact symplectic manifold

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The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics

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On compact Kähler manifolds of constant scalar curvatures

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Bilinear forms and extremal Kähler vector fields associated with Kähler classes

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THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS

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The spectral geometry of a Riemannian manifold

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Integrability of Almost Kaehler Manifolds

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New homogeneous Einstein metrics of negative Ricci curvature

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Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric.

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Über kompakte homogene komplexe Mannigfaltigkeiten

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Complex structures in the Nash-Moser category

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Riemannsche Geometrie im Großen. 2. Aufl

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Pseudo holomorphic curves in symplectic manifolds

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Remarks on a Paper of Hermann

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The inverse function theorem of Nash and Moser

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Noncompact homogeneous Einstein spaces

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The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point

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Extremal Kähler metrics and the Calabi energy

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ON THE CALABI ENERGY OF EXTREMAL KÄHLER METRICS

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Distinguished Kahler Metrics on Hirzebruch Surfaces

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Homogeneous Riemannian spaces of four dimensions

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Conformal geometry of Ricci flat 4-manifolds

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Homogeneous Einstein spaces of dimension four

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Einstein metrics on principal fibre bundles

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Shorter Notes: Another Proof of Bianchi's Identity in Riemannian Geometry

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Scalar curvature and conformal deformation of Riemannian structure

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Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures

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A direct approach to the determination of Gaussian and scalar curvature functions

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Some New Homogeneous Einstein Metrics on Symmetric Spaces

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New examples of homogeneous Einstein metrics

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Warped products with critical Riemannian metric

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Deformations of almost-Kähler metrics with constant scalar curvature on compact Kähler manifolds

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On a conformally invariant functional of the space of Riemannian metrics

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Critical almost Hermitian structures

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Non-deformability of Einstein metrics

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Einstein metrics and complex structures

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A decomposition of the space \(\mathcal M\) of Riemannian metrics on a manifold

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On compact conformally euclidean spaces of dimension \(>2\)

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Sur la géométrie d'une généralisation de l'équation différentielle d'Obata

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Extremal Kähler metrics and complex deformation theory

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On a differential structure for the group of diffeomorphisms

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A remark on extremal Kähler metrics

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The Einstein Tensor and Its Generalizations

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Curvature and the eigenvalues of the Laplacian

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EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS

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Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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On the Volume Elements on a Manifold

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On Hermitian surfaces with \(J\)-invariant Ricci tensor

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On Einstein metrics

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Curvature and critical Riemannian metric

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Critical Riemannian metrics on product manifolds

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Riemannian submersions and critical Riemannian metrics

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Riemannian manifolds with positive mean curvature

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The scalar curvature functional and homogeneous Einsteinian metrics on Lie groups

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New series of Einstein homogeneous metrics

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On one class of homogeneous compact Einstein manifolds

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On the Ricci curvature of homogeneous metrics on noncompact homogeneous spaces

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On compact seven-dimensional homogeneous Einstein manifolds.

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Classification of invariant Einstein metrics on the Aloff-Wallach spaces

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Six-dimensional compact homogeneous Einstein manifolds

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Compact homogeneous Einstein 6-manifolds.

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A four-dimensional example of a Ricci flat metric admitting almost-Kähler non-Kähler structure

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Certain conditions for a Riemannian manifold to be isometric with a sphere

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Infinite dimensional Lie transformation groups

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On the Differentiability of Isometries

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Seminar on Atiyah-Singer Index Theorem. (AM-57)

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The principle of symmetric criticality

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Hamiltonian constructions of Kähler-Einstein metrics and Kähler metrics of constant scalar curvature

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On the DeWitt metric

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On the variational characterization on conformally flat 3-manifolds

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Torsion and critical metrics on contact three-manifolds

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Torsion tensor and critical metrics on contact \((2n + 1)\)-manifolds

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The differentiable structure of three remarkable diffeomorphism groups

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Conformal deformation of a Riemannian metric to constant scalar curvature

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On the `standard' condition for noncompact homogeneous Einstein spaces

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Moduli of polarized Kähler manifolds

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On the geometry of moduli spaces

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Harmonic maps of the moduli space of compact Riemann surfaces

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On some compact Einstein almost Kähler manifolds

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A note on Fischer-Marsden’s conjecture

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A note on extremal metrics of non-constant scalar curvature

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Principle of Maupertuis

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Criteria for the nontriviality of Sobolev-Orlicz classes and spaces of infinite order in the whole Euclidean space

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Reduction of multidimensional inverse problems to initial-boundary value problems in Hilbert spaces

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Critical associated metrics on a symplectic manifold

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Curvature of the space of associated metrics on a symplectic manifold

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Equivalence and Slice Theory for Symplectic Forms on Closed Manifolds

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Natural bundles. I. A minimal resolution of superspace

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Variational Problems on Contact Riemannian Manifolds

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Riemannian geometry

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On a natural algebraic affine connection on the space of almost complex structures and the curvature of Teichmüller space with respect to its Weil-Petersson metric

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On an energy function for the Weil-Petersson metric on Teichmüller space

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On some variational problems for 2-dimensional Hermitian metrics

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Closed Manifolds with Homogeneous Complex Structure

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Some examples of homogeneous Einstein manifolds in dimension seven

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On normal homogeneous Einstein manifolds

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Existence and non-existence of homogeneous Einstein metrics

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Einstein metrics on principal torus bundles

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On isotropy irreducible Riemannian manifolds

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The geometry and structure of isotropy irreducible homogeneous spaces

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Local and global equivalence for flat affine manifolds with parallel geometric structures

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On the existence of extremal metrics

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Weil-Petersson convexity of the energy functional on classical and universal Teichmüller spaces.

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Critical Riemannian metrics on Sasakian manifolds

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Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

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Identifiers

zbMATH Open document ID

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10.1007/s10958-007-0185-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2462068

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