Rigidity of $k$-extremal submanifolds in a sphere

Hang Chen; Yaru Wang

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arXiv · 2305.10895

Rigidity of $k$-extremal submanifolds in a sphere

Hang Chen·Yaru Wang

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Abstract

In this paper, we study the rigidity of $k(\ge 1)$-extremal submanifolds in a sphere and prove various pinching theorems under different curvature conditions, including sectional and Ricci curvatures in pointwise and integral sense.

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BibTeX RIS

Hang Chen, Yaru Wang. 2023-05-18. Rigidity of $k$-extremal submanifolds in a sphere. https://arxiv.org/abs/2305.10895

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