Deformation of contracting maps under the harmonic map heat flow
Differential Geometry
2024-12-17 v1 Analysis of PDEs
Geometric Topology
Abstract
In this paper, inspired by the work Lee-Wan, we researched the rigidity of contracting maps between closed manifolds with positive curvature. We focused on the relation between curvature pinching and contracting conditions involving arbitrary singular values.
Cite
@article{arxiv.2412.10620,
title = {Deformation of contracting maps under the harmonic map heat flow},
author = {Jia-Lin Hsu and Mao-Pei Tsui},
journal= {arXiv preprint arXiv:2412.10620},
year = {2024}
}
Comments
24 pages