IJPAM: Volume 41, No. 6 (2007)
SOME PROPERTIES OF MINIMAL SUBMANIFOLDS
IN HYPERBOLIC SPACE
IN HYPERBOLIC SPACE
Azam Etemad Dehkordy
Department of Mathematical Sciences
Isfahan University of Technology
Isfahan, IRAN
e-mail: ae110mat@cc.iut.ac.ir
Department of Mathematical Sciences
Isfahan University of Technology
Isfahan, IRAN
e-mail: ae110mat@cc.iut.ac.ir
Abstract.In this paper, we state a condition for minimal submanifolds in hyperbolic space to be totally geodesic submanifolds. Moreover, we conclude again this well known fact that compact submanifolds in hyperbolic space cannot be minimal submanifolds.
Received: August 18, 2007
AMS Subject Classification: 53C42
Key Words and Phrases: minimal submanifold, hyperbolic space, totally geodesic
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 6
