International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 2, Pages 249-254
doi:10.1155/S0161171298000350

Two theorems on (ϵ)-Sasakian manifolds

Xu Xufeng1 and Chao Xiaoli2

 1Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, China
2Department of Mathematics, Hangzhou University, Hangzhou 310028, China
Received 1 April 1996; Revised 15 July 1996

Abstract

In this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to be an (ϵ)-sasakian manifold.