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Kähler non-collapsing, eigenvalues and the Calabi flow (Q2253153)

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English	Kähler non-collapsing, eigenvalues and the Calabi flow	scientific article

Statements

scholarly article

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Kähler non-collapsing, eigenvalues and the Calabi flow (English)

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Journal of Functional Analysis

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publication date

25 July 2014

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full work available at URL

https://arxiv.org/abs/1309.4304

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zbMATH Keywords

Kähler non-collapsing

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eigenvalues

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Calabi flow

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MaRDI profile type

MaRDI publication profile

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\(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below

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Nonlinear analytic semiflows

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A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics

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Geodesics in the space of Kähler cone metrics, I

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Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator

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Finiteness Theorems for Riemannian Manifolds

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On the structure of spaces with Ricci curvature bounded below. I

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On the structure of spaces with Ricci curvature bounded below. II

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On the structure of spaces with Ricci curvature bounded below. III

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On the singularities of spaces with bounded Ricci curvature

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The space of Kähler metrics.

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Space of Kähler metrics. III: On the lower bound of the Calabi energy and geodesic distance

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On the Calabi flow

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The Calabi flow on toric Fano surfaces

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The Calabi flow on Kähler surfaces with bounded Sobolev constant. I

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On conformally Kähler, Einstein manifolds

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Kähler-Ricci flow with small initial energy

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Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics

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Ricci flow on Kähler-Einstein surfaces.

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Moduli spaces of critical Riemannian metrics with \(L^{\frac{n}{2}}\) norm curvature bounds

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The pseudo-Calabi flow

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Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation

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Equations d'évolution abstraites non linéaires de type parabolique

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Remarks on the existence problem of positive Kähler-Einstein metrics

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The global existence and convergence of the Calabi flow on \(\mathbb C^{n}/\mathbb Z^{n}+i \mathbb Z^{n}\)

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Calabi flow and projective embeddings

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On automorphism groups of compact Kähler manifolds

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Bilinear forms and extremal Kähler vector fields associated with Kähler classes

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Elliptic partial differential equations of second order

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Three-manifolds with positive Ricci curvature

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Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded Below and Positive Injectivity Radius

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Stability of Calabi flow near an extremal metric

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Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in \(L^{p}\): the case of compact Kähler manifolds

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Eigenvalues and energy functionals with monotonicity formulae under Ricci flow

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Holomorphic mappings of complex manifolds

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Some symplectic geometry on compact Kähler manifolds. I

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On stability and the convergence of the Kähler-Ricci flow

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Unstable products of smooth curves

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On the convergence and collapsing of Kähler metrics.

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Complex Monge-Ampere and Symplectic Manifolds

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On the convergence and singularities of the <i>J</i>‐Flow with applications to the Mabuchi energy

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Long time existence of minimizing movement solutions of Calabi flow

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The consistency and convergence of K-energy minimizing movements

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Remark on the Calabi flow with bounded curvature

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On Calabi's conjecture for complex surfaces with positive first Chern class

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Kähler-Einstein metrics with positive scalar curvature

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Moduli spaces of critical Riemannian metrics in dimension four

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The Calabi flow with small inital energy

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On the \(C^{2,\alpha}\)-regularity of the complex Monge-Ampère equation

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First eigenvalue of the \(p\)-Laplace operator along the Ricci flow

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A General Schwarz Lemma for Kahler Manifolds

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Kähler-Ricci soliton typed equations on compact complex manifolds with \(c_1(M)>0\).

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Identifiers

zbMATH Open document ID

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10.1016/j.jfa.2014.06.001

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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:2253153

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