Journal of Chemical and Pharmaceutical Research (ISSN : 0975-7384)

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Original Articles: 2014 Vol: 6 Issue: 6

The characterization of moebius sectional curvature of submanifolds on unit Sphere

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.