SCALAR CURVATURE OF CONTACT THREE CR-SUBMANIFOLDS IN A UNIT (4m + 3)-SPHERE

Title & Authors
SCALAR CURVATURE OF CONTACT THREE CR-SUBMANIFOLDS IN A UNIT (4m + 3)-SPHERE
Kim, Hyang-Sook; Pak, Jin-Suk;

Abstract
In this paper we derive an integral formula on an (n + 3)-dimensional, compact, minimal contact three CR-submanifold M of (p-1) contact three CR-dimension immersed in a unit (4m+3)-sphere $\small{S^{4m+3}}$. Using this integral formula, we give a sufficient condition concerning the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.
Keywords
unit (4m+3)-sphere;Sasakian 3-structure;contact three CR-submanifold;scalar curvature;
Language
English
Cited by
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