The characterization of moebius sectional curvature of submanifolds on unit Sphere

Nan Ji, Yuxia Tong and Shaohon

Abstract

In this paper, let Mm be an m-dimensional submanifold without umbilical point on unit sphere, we prove two Moebius sectional curvature pinching theorems, which give the characterizations of Clifford tori and Veronese submanifolds by the Moebius invariants.