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

• Kim, Hyang-Sook (Department of Computational Mathematics School of Computer Aided Science Institute of Basic Science Inje University) ;
• Pak, Jin-Suk (Graduate School of Education Daegu University)
• Published : 2011.05.31

#### 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 $S^{4m+3}$. 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.

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