A softer connectivity principle
نویسندگان
چکیده
We give soft, quantitatively optimal extensions of the classical Sphere Theorem, Wilking's connectivity principle and Frankel's Theorem to context ${k}$-th Ricci curvature. The hypotheses are soft in sense that they satisfied on sets metrics open $C^{2}$-topology.
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2022
ISSN: ['1019-8385', '1944-9992']
DOI: https://doi.org/10.4310/cag.2022.v30.n5.a5