Differentiable rigidity under Ricci curvature lower bound
From MaRDI portal
Publication:662417
DOI10.1215/00127094-1507272zbMath1250.53033arXiv0805.3845OpenAlexW2952268513MaRDI QIDQ662417
Gilles Courtois, Sylvestre Gallot, Gérard Besson, Laurent Bessières
Publication date: 22 February 2012
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.3845
Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Differential geometry of symmetric spaces (53C35)
Related Items (5)
On the diastatic entropy and \(\mathcal{C}^1\)-rigidity of complex hyperbolic manifolds ⋮ Approximate rigidity of the marked length spectrum ⋮ Lipschitz-volume rigidity on limit spaces with Ricci curvature bounded from below ⋮ Lipschitz-volume rigidity in Alexandrov geometry ⋮ Improved relative volume comparison for integral Ricci curvature and applications to volume entropy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Volume and bounded cohomology
- Scalar curvature of a metric with unit volume
- A theorem on differential rigidity
- On the structure of spaces with Ricci curvature bounded below. I
- On the structure of spaces with Ricci curvature bounded below. II
- Entropy and rigidity of locally symmetric spaces of strictly negative curvature
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- Canonical metrics on 3-manifolds and 4-manifolds
- Negatively Curved Manifolds with Exotic Smooth Structures
- Minimal entropy and Mostow's rigidity theorems
- 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
This page was built for publication: Differentiable rigidity under Ricci curvature lower bound