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arXiv · 1408.3006

Differentiable stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature

Wilderich Tuschmann·Michael Wiemeler
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Abstract

Leon Green obtained remarkable rigidity results for manifolds of positive scalar curvature with large conjugate radius and/or injectivity radius. Using $C^{k,\alpha}$ convergence techniques, we prove several differentiable stability and sphere theorem versions of these results and apply those also to the study of Einstein manifolds.

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Wilderich Tuschmann, Michael Wiemeler. 2014-08-13. Differentiable stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature. https://arxiv.org/abs/1408.3006

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