Conformally variational Riemannian invariants
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Publication:5380494
DOI10.1090/tran/7761zbMath1423.53037arXiv1711.05579OpenAlexW2963057087WikidataQ115280366 ScholiaQ115280366MaRDI QIDQ5380494
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
Publication date: 5 June 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05579
Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Differential invariants (local theory), geometric objects (53A55)
Related Items (7)
Some constructions of formally self-adjoint conformally covariant polydifferential operators ⋮ Global obstructions to conformally Einstein metrics in dimension six ⋮ On the prescribed \(Q\)-curvature problem in Riemannian manifolds ⋮ Deformation of the weighted scalar curvature ⋮ On the \(\sigma_2\)-curvature and volume of compact manifolds ⋮ Complete metrics with constant fractional higher order \(Q\)-curvature on the punctured sphere ⋮ Deformations of \(Q\)-curvature. II.
Cites Work
- Deformation of scalar curvature and volume
- Scalar curvature rigidity with a volume constraint
- Non-uniqueness results for critical metrics of regularized determinants in four dimensions
- Deformations of \(Q\)-curvature. I
- Almost-Schur lemma
- \(Q\)-curvature and Poincaré metrics
- Einstein spaces admitting a one-parameter group of conformal transformations
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- Variational status of a class of fully nonlinear curvature prescription problems
- On the local Nirenberg problem for the \(Q\)-curvatures
- Extended obstruction tensors and renormalized volume coefficients
- On the volume functional of compact manifolds with boundary with constant scalar curvature
- Uniqueness and non-uniqueness in the Cauchy problem
- Extremals of determinants of Laplacians
- On the structure of manifolds with positive scalar curvature
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- Variation of harmonic mapping caused by a deformation of Riemannian metric
- Spin and scalar curvature in the presence of a fundamental group. I
- Sur l'unicité dans le problème de Cauchy pour les opérateurs différentiels à caractéristiques de multiplicité constante
- Estimates and extremals for zeta function determinants on four-manifolds
- Scalar curvature and conformal deformation of Riemannian structure
- Natural differential operators on Riemannian manifolds and representations of the orthogonal and special orthogonal groups
- Natural tensors on Riemannian manifolds
- Deformations of the scalar curvature
- Conformal geometry and global invariants
- Conformally invariant powers of the Laplacian, \(Q\)-curvature, and tractor calculus
- Scattering matrix in conformal geometry
- Standard tractors and the conformal ambient metric construction
- A variational characterization for \(\sigma_{n/2}\)
- An anomaly associated with 4-dimensional quantum gravity
- Conformal geometry, contact geometry, and the calculus of variations
- On an inequality of Andrews, De Lellis, and Topping
- A symmetric 2-tensor canonically associated to \(Q\)-curvature and its applications
- A new conformal invariant on 3-dimensional manifolds
- Einstein manifolds
- Laplacian operators and \(Q\)-curvature on conformally Einstein manifolds
- Some decompositions of the space of symmetric tensors on a Riemannian manifolds
- The conjectures on conformal transformations of Riemannian manifolds
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- A note on renormalized volume functionals
- Conformal deformation on manifolds with boundary
- UNIVERSAL PRINCIPLES FOR KAZDAN–WARNER AND POHOZAEV–SCHOEN TYPE IDENTITIES
- An almost Schur theorem on 4-dimensional manifolds
- Einstein and conformally flat critical metrics of the volume functional
- The Ambient Metric (AM-178)
- Unique Continuation for Elliptic Equations
- Conformally Invariant Powers of the Laplacian, I: Existence
- Conformally Invariant Powers of the Laplacian, II: Nonexistence
- A Class of Variational Functionals in Conformal Geometry
- PDEs in Conformal Geometry
- Differential operators cononically associated to a conformal structure.
- On Conformally Invariant Differential Operators
- Shorter Notes: Another Proof of Bianchi's Identity in Riemannian Geometry
- Explicit Functional Determinants in Four Dimensions
- Conformally invariant powers of the Laplacian — A complete nonexistence theorem
- Diffeomorphisms and holographic anomalies
- Sharp Inequalities, the Functional Determinant, and the Complementary Series
- Boundary operators associated with the Paneitz operator
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations
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