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arXiv · 2412.10620

Deformation of contracting maps under the harmonic map heat flow

Jia-Lin Hsu·Mao-Pei Tsui
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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 $k$ singular values.

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Jia-Lin Hsu, Mao-Pei Tsui. 2024-12-14. Deformation of contracting maps under the harmonic map heat flow. https://arxiv.org/abs/2412.10620

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