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
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
Copyright © 1998 Xu Xufeng and Chao Xiaoli. 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
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.