Gap phenomena under curvature restrictions
Differential Geometry
2025-03-31 v3 Metric Geometry
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.
Cite
@article{arxiv.2410.04985,
title = {Gap phenomena under curvature restrictions},
author = {Shouhei Honda and Andrea Mondino},
journal= {arXiv preprint arXiv:2410.04985},
year = {2025}
}
Comments
18 pages, to appear in Indagationes Mathematicae