International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 93562, 8 pages
doi:10.1155/2007/93562
Research Article

On Sectional Curvatures of (ε)-Sasakian Manifolds

Rakesh Kumar,1 Rachna Rani,2 and R. K. Nagaich2

1Department of Mathematics, University College of Engineering, Punjabi University Patiala, 147002, India
2Department of Mathematics, Punjabi University, Patiala, 147002, India

Received 24 May 2007; Accepted 2 November 2007

Academic Editor: Mircea-Eugen Craioveanu

Copyright © 2007 Rakesh Kumar 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 obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian manifolds.