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arXiv · 1501.03475

Space of nonnegatively curved metrics and pseudoisotopies

Igor Belegradek·F. Thomas Farrell·Vitali Kapovitch
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Abstract

Let V be an open manifold with complete nonnegatively curved metric such that the normal sphere bundle to a soul has no section. We prove that the souls of nearby nonnegatively curved metrics on V are smoothly close. Combining this result with some topological properties of pseudoisotopies we show that for many V the space of complete nonnegatively curved metrics has infinite higher homotopy groups.

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Igor Belegradek, F. Thomas Farrell, Vitali Kapovitch. 2015-01-14. Space of nonnegatively curved metrics and pseudoisotopies. https://arxiv.org/abs/1501.03475

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