Metric rigidity of Kähler manifolds with lower Ricci bounds and almost maximal volume

DOI10.1090/proc/15473zbMath1467.53052arXiv2010.10925OpenAlexW3160613506MaRDI QIDQ4992938

Jian Song, Harish Seshadri, Ved V. Datar

Publication date: 10 June 2021

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

Full work available at URL: https://arxiv.org/abs/2010.10925

zbMATH Keywords

Gromov-Hausdorff distancealmost Einstein manifoldsholomorphic rigidityalmost maximal volume

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

• Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
• The volume of Kähler-Einstein Fano varieties and convex bodies
• A characterization of complex projective space up to biholomorphic isometry
• Shape of manifolds with positive Ricci curvature
• Twisted Kähler-Einstein metrics
• The partial 𝐶⁰-estimate along the continuity method
• Manifolds of Positive Ricci Curvature with Almost Maximal Volume
• Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
• Gromov‐Hausdorff Limits of Kähler Manifolds with Bisectional Curvature Lower Bound
• K‐Stability and Kähler‐Einstein Metrics
• On the structure of almost Einstein manifolds
• Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋

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