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

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

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 S2m+1. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2010, 47(3), , pp.541-549
Hauptverfasser: Kim, Hyang-Sook, Pak, Jin-Suk
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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 S2m+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. KCI Citation Count: 2
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2010.47.3.541