Rigidity of cones with bounded Ricci curvature
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Publication:2659434
DOI10.4171/JEMS/1010zbMath1478.53078arXiv1712.08093OpenAlexW3092643155MaRDI QIDQ2659434
Karl-Theodor Sturm, Matthias Erbar
Publication date: 26 March 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08093
Variational problems in a geometric measure-theoretic setting (49Q20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (8)
Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds ⋮ Sphere theorems with and without smoothing ⋮ Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ An optimal transport formulation of the Einstein equations of general relativity ⋮ On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces ⋮ Remarks about synthetic upper Ricci bounds for metric measure spaces ⋮ Monotonicity formulas for parabolic free boundary problems on cones
Cites Work
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- Local curvature-dimension condition implies measure-contraction property
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Obata's rigidity theorem for metric measure 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
- Characterization of pinched Ricci curvature by functional inequalities
- Cones over metric measure spaces and the maximal diameter theorem
- Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
- Ricci curvature for metric-measure spaces via optimal transport
- Structure theory of metric measure spaces with lower Ricci curvature bounds
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the geometry of metric measure spaces. II
- Li-Yau and Harnack type inequalities in \(\text{RCD}^\ast (K,N)\) metric measure spaces
- On the differential structure of metric measure spaces and applications
- Ricci Bounds for Euclidean and Spherical Cones
- Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
- Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
- Optimal Transport
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