On an Isotropic Property of Anti-Kahler Manifolds

Abstract

We give a proof of the fact that an anti-Kahler-Codazzi manifold reduces to an isotropic anti-Kahler manifold if and only if the Ricci tensor field coincides with the Ricci* tensor field. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.