A weakly second-order differential structure on rectifiable metric measure spaces
From MaRDI portal
Publication:2441275
DOI10.2140/gt.2014.18.633zbMath1286.53045arXiv1112.0099OpenAlexW2033866183WikidataQ115231046 ScholiaQ115231046MaRDI QIDQ2441275
Publication date: 24 March 2014
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.0099
Global Riemannian geometry, including pinching (53C20) 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)
Related Items (13)
Spectral convergence under bounded Ricci curvature ⋮ Ricci measure for some singular Riemannian metrics ⋮ Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces ⋮ Synthetic theory of Ricci curvature bounds ⋮ Singular Weyl’s law with Ricci curvature bounded below ⋮ Ricci curvature and orientability ⋮ Angles between curves in metric measure spaces ⋮ Bakry-Émery conditions on almost smooth metric measure spaces ⋮ Elliptic PDEs on Compact Ricci Limit Spaces and Applications ⋮ On the spaces with Ricci curvature bounds ⋮ Lichnerowicz-Obata estimate, almost parallel \(p\)-form and almost product manifolds ⋮ Collapsed Ricci limit spaces as non-collapsed RCD spaces ⋮ Sphere theorems and eigenvalue pinching without positive Ricci curvature assumption
Cites Work
- Unnamed Item
- Unnamed Item
- Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
- Ricci curvature and \(L^{p}\)-convergence
- Bishop-Gromov type inequality on Ricci limit spaces
- Ricci curvature and convergence of Lipschitz functions
- Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Differentiability of Lipschitz functions on metric measure spaces
- The Riemannian structure of Alexandrov spaces
- Spectral convergence of Riemannian manifolds
- On the structure of spaces with Ricci curvature bounded below. I
- On the structure of spaces with Ricci curvature bounded below. III
- Convergence of Riemannian manifolds and Laplace operators. I
- A differentiable structure for metric measure spaces
- Heat kernels and Green's functions on limit spaces
- Spectral convergence of Riemannian manifolds. II
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
- Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry
- Ricci curvature for metric-measure spaces via optimal transport
- Lower Ricci curvature, branching and the bilipschitz structure of uniform Reifenberg spaces
- On the measure contraction property of metric measure spaces
- Convergence of Riemannian manifolds and Laplace operators. II
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Differential equations on riemannian manifolds and their geometric applications
- A.D. Alexandrov spaces with curvature bounded below
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Optimal Transport
- Currents in metric spaces
This page was built for publication: A weakly second-order differential structure on rectifiable metric measure spaces
