Singular sets on spaces with integral curvature bounds and diffeomorphism finiteness for manifolds

DOI10.1007/S00526-024-02869-4MaRDI QIDQ6657171

Xin Qian

Publication date: 6 January 2025

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Methods of local Riemannian geometry (53B21)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Regularity of Kähler-Ricci flows on Fano manifolds
• Regularity of Einstein manifolds and the codimension 4 conjecture
• Convergence and rigidity of manifolds under Ricci curvature bounds
• Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
• Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded
• Ricci curvature and volume convergence
• Relative volume comparison with integral curvature bounds
• On the structure of spaces with Ricci curvature bounded below. I
• Integral bounds on curvature, elliptic estimates and rectifiability of singular sets
• On the structure of spaces with Ricci curvature bounded below. II
• Local Sobolev constant estimate for integral Ricci curvature bounds
• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
• On the singularities of spaces with bounded Ricci curvature
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• Lower bounds on Ricci curvature and quantitative behavior of singular sets
• Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
• Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds
• Convergence of riemannian manifolds with integral bounds on curvature. I
• Convergence of riemannian manifolds with integral bounds on curvature. II
• Analysis and geometry on manifolds with integral Ricci curvature bounds. II
• Segment Inequality and Almost Rigidity Structures for Integral Ricci Curvature
• Riemannian Geometry

This page was built for publication: Singular sets on spaces with integral curvature bounds and diffeomorphism finiteness for manifolds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6657171)