International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 1, Pages 69-72
doi:10.1155/S0161171298000076

On some compact almost Kähler locally symmetric space

Takashi Oguro

 Department of Mathematics and Information Science, Graduate School of Science and Technology, Niigata University, Niigata 950-21, Japan
Received 8 April 1996; Revised 3 May 1997

Abstract

In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗-Einstein vnanifold with non-negative ,∗-scalar curvature, then M is a Kähler manifold.