Rigidity of $k$-extremal submanifolds in a sphere
Differential Geometry
2023-05-19 v1
Abstract
In this paper, we study the rigidity of -extremal submanifolds in a sphere and prove various pinching theorems under different curvature conditions, including sectional and Ricci curvatures in pointwise and integral sense.
Keywords
Cite
@article{arxiv.2305.10895,
title = {Rigidity of $k$-extremal submanifolds in a sphere},
author = {Hang Chen and Yaru Wang},
journal= {arXiv preprint arXiv:2305.10895},
year = {2023}
}
Comments
23 pages