Bandwidth and focal radius with positive isotropic curvature
Differential Geometry
2024-05-31 v1 Geometric Topology
Abstract
This paper investigates quantitative metric inequalities for manifolds with positive isotropic curvature (PIC). Our results include upper bounds on the bandwidth and focal radius of hypersurfaces in PIC manifolds, contingent on boundary convexities and Betti numbers. The proof is based on exploiting the spectral properties of a twisted de Rham-Hodge operator on manifolds with boundary.
Keywords
Cite
@article{arxiv.2405.20129,
title = {Bandwidth and focal radius with positive isotropic curvature},
author = {Tsz-Kiu Aaron Chow and Jingze Zhu},
journal= {arXiv preprint arXiv:2405.20129},
year = {2024}
}
Comments
44 pages, comments are welcome!