Abstract and Applied Analysis
Volume 2011 (2011), Article ID 987157, 9 pages
http://dx.doi.org/10.1155/2011/987157
Research Article

Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds

Falleh R. Al-Solamy,1 Meraj Ali Khan,2 and Siraj Uddin3

1Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O. Box 80015, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 80015, Tabuk, Saudi Arabia
3Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia

Received 5 April 2011; Revised 11 July 2011; Accepted 11 July 2011

Academic Editor: Hassan Safouhi

Copyright © 2011 Falleh R. Al-Solamy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi-slant submanifolds of a Kaehler manifold and give an example.