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http://dx.doi.org/10.4134/BKMS.2010.47.3.541

SCALAR CURVATURE OF CONTACT CR-SUBMANIFOLDS IN AN ODD-DIMENSIONAL UNIT SPHERE  

Kim, Hyang-Sook (Department of Computational Mathematics School of Computer Aided Science Institute of Basic Science Inje University)
Pak, Jin-Suk (Department of Mathematics Education Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.3, 2010 , pp. 541-549 More about this Journal
Abstract
In this paper we derive an integral formula on an (n + 1)-dimensional, compact, minimal contact CR-submanifold M of (n - 1) contact CR-dimension immersed in a unit (2m+1)-sphere $S^{2m+1}$. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.
Keywords
Sasakian manifold; odd-dimensional unit sphere; contact CR-submanifold; scalar curvature;
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