The fundamental groups of open manifolds with nonnegative Ricci curvature
DOI10.3842/SIGMA.2020.078zbMath1456.53007arXiv2006.00745MaRDI QIDQ2217952
Publication date: 12 January 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00745
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Discontinuous groups of transformations (57S30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 3-manifolds with nonnegative Ricci curvature
- Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
- Positive Ricci curvature on the connected sums of \(S^ n\times S^ m\)
- Complete Ricci-flat Kähler manifolds of infinite topological type
- Regularity of Einstein manifolds and the codimension 4 conjecture
- On the topology of complete manifolds of non-negative Ricci curvature
- The topology of open manifolds with nonnegative Ricci curvature
- Examples of manifolds of positive Ricci curvature
- Convex sets in a manifold of nonnegative curvature
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- The fundamental groups of almost nonnegatively curved manifolds
- Ricci curvature and volume convergence
- On the structure of spaces with Ricci curvature bounded below. I
- Noncollapsing examples with positive Ricci curvature and infinite topological type
- On fundamental groups of manifolds of nonnegative curvature
- On the structure of spaces with Ricci curvature bounded below. II
- On the structure of spaces with Ricci curvature bounded below. III
- Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups.
- Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- On the fundamental group of Riemannian manifolds with nonnegative Ricci curvature
- Lower bounds on Ricci curvature and quantitative behavior of singular sets
- The almost rigidity of manifolds with lower bounds on Ricci curvature and minimal volume growth
- On the escape rate of geodesic loops in an open manifold with nonnegative Ricci curvature
- Nonnegative Ricci curvature, stability at infinity and finite generation of fundamental groups
- A proof of Milnor conjecture in dimension 3
- Various covering spectra for complete metric spaces
- Noncompact manifolds with nonnegative Ricci curvature
- New connected sums with positive Ricci curvature
- A note on curvature and fundamental group
- The splitting theorem for manifolds of nonnegative Ricci curvature
- On the structure of complete manifolds of nonnegative curvature
- On Complete Manifolds With Nonnegative Ricci Curvature
- Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups
- Surgery on Ricci positive manifolds
- Manifolds of Positive Ricci Curvature with Almost Maximal Volume
- On loops representing elements of the fundamental group of a complete manifold with nonnegative Ricci curvature
- On the fundamental group of complete manifolds with almost Euclidean volume growth
- Solvable Fundamental Groups of Compact 3-Manifolds
- 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
- Almost flat manifolds
This page was built for publication: The fundamental groups of open manifolds with nonnegative Ricci curvature