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arXiv · 2410.04985

Gap phenomena under curvature restrictions

Shouhei Honda·Andrea Mondino
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Abstract

In the paper we discuss gap phenomena of three different types related to Ricci (and sectional) curvature. The first type is about spectral gaps. The second type is about sharp gap metric-rigidity, originally due to Anderson. The third is about sharp gap topological-rigidity. We also propose open problems along these directions.

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Shouhei Honda, Andrea Mondino. 2024-10-07. Gap phenomena under curvature restrictions. https://arxiv.org/abs/2410.04985

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