Ricci curvature in dimension 2
From MaRDI portal
Publication:6160158
DOI10.4171/jems/1196zbMath1518.53043arXiv1812.08225OpenAlexW4205463652MaRDI QIDQ6160158
Alexander Lytchak, Stephan Stadler
Publication date: 9 May 2023
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.08225
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Uniformization of complex manifolds (32Q30)
Related Items (4)
Singular Weyl’s law with Ricci curvature bounded below ⋮ Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ A note on the topological stability theorem from RCD spaces to Riemannian manifolds ⋮ Optimal diameter estimate of three-dimensional Ricci limit spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces
- Characterization of low dimensional \(RCD^\ast(K, N)\) spaces
- A globalization for non-complete but geodesic spaces
- Synthetic theory of Ricci curvature bounds
- Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below
- Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications
- Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- Regularity of harmonic discs in spaces with quadratic isoperimetric inequality
- Area minimizing discs in metric spaces
- From volume cone to metric cone in the nonsmooth setting
- The structure of minimal surfaces in \(\mathrm{CAT}(0)\) spaces
- Quasiconformal maps in metric spaces with controlled geometry
- On the structure of spaces with Ricci curvature bounded below. I
- Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces
- Lectures on analysis on metric spaces
- Sobolev classes of Banach space-valued functions and quasiconformal mappings
- Isoperimetric characterization of upper curvature bounds
- Intrinsic structure of minimal discs in metric spaces
- On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces
- Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces
- Canonical parameterizations of metric disks
- CD meets CAT
- New differential operator and noncollapsed RCD spaces
- 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
- Cheeger-harmonic functions in metric measure spaces revisited
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the geometry of metric measure spaces. II
- Non-branching geodesics and optimal maps in strong \(CD(K,\infty)\)-spaces
- Alexandrov meets Lott--Villani--Sturm
- On the differential structure of metric measure spaces and applications
- Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
- Semiconcave functions in Alexandrov's geometry
- Non-collapsed spaces with Ricci curvature bounded from below
- Almost Euclidean Isoperimetric Inequalities in Spaces Satisfying Local Ricci Curvature Lower Bounds
- Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows
- CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES
- Sobolev Spaces on Metric Measure Spaces
- Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
This page was built for publication: Ricci curvature in dimension 2
