International Journal of Mathematics and Mathematical Sciences 
Volume 2005 (2005), Issue 7, Pages 987-996
doi:10.1155/IJMMS.2005.987

Application of an integral formula to CR-submanifolds of complex hyperbolic space

Jin Suk Pak1 and Hyang Sook Kim2

 1Department of Mathematics, College of Natural Science, Kyungpook National University, Daegu 702-701, Korea
2Department of Computational Mathematics, School of Computer Aided Science, College of Natural Science, Inje University, Kyungnan, Kimhae 621-749, Korea
Received 24 May 2004; Revised 2 March 2005

Abstract

The purpose of this paper is to study n-dimensional compact CR-submanifolds of complex hyperbolic space CH(n+p)/2, and especially to characterize geodesic hypersphere in CH(n+1)/2 by an integral formula.