Differentiable stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature
Differential Geometry
2021-07-26 v5
Abstract
Leon Green obtained remarkable rigidity results for manifolds of positive scalar curvature with large conjugate radius and/or injectivity radius. Using convergence techniques, we prove several differentiable stability and sphere theorem versions of these results and apply those also to the study of Einstein manifolds.
Keywords
Cite
@article{arxiv.1408.3006,
title = {Differentiable stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature},
author = {Wilderich Tuschmann and Michael Wiemeler},
journal= {arXiv preprint arXiv:1408.3006},
year = {2021}
}
Comments
13 pages; final version; accepted for publication in Comm. Anal. Geom