Quantitative 𝑊^{2,𝑝}-stability for almost Einstein hypersurfaces

DOI10.1090/tran/7504zbMath1408.53063arXiv1703.01846OpenAlexW2593004256MaRDI QIDQ4645125

Stefano Gioffrè

Publication date: 10 January 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01846

zbMATH Keywords

stabilityscalar curvatureround spheretraceless Ricci tensor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Stability theory for manifolds (58K25)

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Cites Work

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• Almost-Schur lemma
• Convergence and rigidity of manifolds under Ricci curvature bounds
• Solvability of convolution operators
• Pinching of the first eigenvalue of the Laplacian and almost-Einstein hypersurfaces of the Euclidean space
• Quantitative 𝑊^{2,𝑝}-stability for almost Einstein hypersurfaces
• Riemannian Geometry
• Finiteness Theorems for Riemannian Manifolds
• On Closed Spaces of Constant Mean Curvature
• Riemannian geometry
• Riemannian geometry and geometric analysis