Rigidity of k-extremal submanifolds in a sphere

2023/05/18 by Chen, Hang, Wang, Yaru
#53C20 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.10895

Abstract

In this paper, we study the rigidity of k(≥ 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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