Abstract

Moebius sectional curvature of conformal submanifolds on Sn

Author(s): Nan Ji, Yuxia Tong, Kaiwen Guo

In this paper, let MR be a n-dimensional submanifold without umbilical point on unit sphere SR, we use some Moebius invariants to get two pinching theorems about the Moebius sectional curvature, which give the characterizations of Veronese submanifolds and Clifford tori.