Curvature tensor of smoothable Alexandrov spaces
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Publication:6655619
DOI10.2140/GT.2024.28.3869MaRDI QIDQ6655619
Publication date: 27 December 2024
Published in: Geometry \& Topology (Search for Journal in Brave)
Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Analysis on metric spaces (30L99)
Cites Work
- Ricci measure for some singular Riemannian metrics
- An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds
- Quantitative estimates on the singular sets of Alexandrov spaces
- Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes
- Ricci tensor on \(\mathrm{RCD}^\ast(K,N)\) spaces
- Boundary regularity and stability for spaces with Ricci bounded below
- Riemann curvature tensor on \(\mathsf{RCD}\) spaces and possible applications
- An upper bound for the curvature integral
- Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
- Semiconcave functions in Alexandrov's geometry
- A.D. Alexandrov spaces with curvature bounded below
- Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below
- Alexandrov Geometry
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