International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 69-72
On some compact almost Kähler locally symmetric space
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
Copyright © 1998 Takashi Oguro. 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.
In the framework of studying the integrability of almost Kähler manifolds,
we prove that if a compact almost Kähler locally symmetric space is a weakly ,-Einstein
vnanifold with non-negative ,-scalar curvature, then is a Kähler manifold.