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arXiv · 1812.01021

A softer connectivity principle

Luis Guijarro·Frederick Wilhelm
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Abstract

We give soft, quantitatively optimal extensions of the classical Sphere Theorem, Wilking's connectivity principle and Frankel's Theorem to the context of ${k}$-th Ricci curvature. The hypotheses are soft in the sense that they are satisfied on sets of metrics that are open in the $C^{2}$-topology.

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Luis Guijarro, Frederick Wilhelm. 2018-12-03. A softer connectivity principle. https://arxiv.org/abs/1812.01021

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