A softer connectivity principle
Differential Geometry
2020-01-08 v2
Abstract
We give soft, quantitatively optimal extensions of the classical Sphere Theorem, Wilking's connectivity principle and Frankel's Theorem to the context of -th Ricci curvature. The hypotheses are soft in the sense that they are satisfied on sets of metrics that are open in the -topology.
Cite
@article{arxiv.1812.01021,
title = {A softer connectivity principle},
author = {Luis Guijarro and Frederick Wilhelm},
journal= {arXiv preprint arXiv:1812.01021},
year = {2020}
}
Comments
Final version, accepted for publication