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

Xufeng Xu1 and Xiaoli Chao2

1Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, China
2Department of Mathematics, Hangzhou University, Hangzhou 310028, China

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.