Deformation of contracting maps under the harmonic map heat flow

Fuente: arXiv
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Auteurs principaux: Hsu, Jia-Lin, Tsui, Mao-Pei
Format: Preprint
Publié: 2024
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_version_ 1866912156201517056
author Hsu, Jia-Lin
Tsui, Mao-Pei
author_facet Hsu, Jia-Lin
Tsui, Mao-Pei
contents 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 $k$ singular values.
format Preprint
id arxiv_https___arxiv_org_abs_2412_10620
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Deformation of contracting maps under the harmonic map heat flow
Hsu, Jia-Lin
Tsui, Mao-Pei
Differential Geometry
Analysis of PDEs
Geometric Topology
53C24, 53C44, 53C20, 53C43
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 $k$ singular values.
title Deformation of contracting maps under the harmonic map heat flow
topic Differential Geometry
Analysis of PDEs
Geometric Topology
53C24, 53C44, 53C20, 53C43
url https://arxiv.org/abs/2412.10620