Sobolev inequalities and convergence for Riemannian metrics and distance functions
From MaRDI portal
Publication:6103339
DOI10.1007/s10455-023-09906-zzbMath1523.53045arXiv2112.05105MaRDI QIDQ6103339
Publication date: 2 June 2023
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05105
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth convergence away from singular sets
- Ricci curvature and \(L^{p}\)-convergence
- Convergence and rigidity of manifolds under Ricci curvature bounds
- Convergence of Riemannian manifolds; Ricci and \(L^{n/2}\)-curvature pinching
- Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded
- Riemannian manifolds with small integral norm of curvature
- Ricci curvature and volume convergence
- Relative volume comparison with integral curvature bounds
- On the structure of spaces with Ricci curvature bounded below. I
- Lectures on analysis on metric spaces
- Orbifold compactness for spaces of Riemannian metrics and applications
- Shape of manifolds with positive Ricci curvature
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- \(A_{\infty}\)-weights and compactness of conformal metrics under \(L^{n/2}\) curvature bounds
- Stability of graphical tori with almost nonnegative scalar curvature
- Relating notions of convergence in geometric analysis
- Almost non-negative scalar curvature on Riemannian manifolds conformal to tori
- Dirac and Plateau billiards in domains with corners
- Contrasting various notions of convergence in geometric analysis
- Sobolev bounds and convergence of Riemannian manifolds
- Warped tori with almost non-negative scalar curvature
- 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
This page was built for publication: Sobolev inequalities and convergence for Riemannian metrics and distance functions