Abstract and Applied Analysis
Volume 2013, Article ID 752650, 8 pages
http://dx.doi.org/10.1155/2013/752650
Neutral Slant Submanifolds of a Para-Kähler Manifold
Department of Mathematics, Dicle University, 21280 Diyarbakır, Turkey
Received 27 May 2013; Accepted 9 August 2013
Academic Editor: Jaume Giné
Copyright © 2013 Yılmaz Gündüzalp. 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
We define and study both neutral slant and semineutral slant submanifolds of an almost para-Hermitian manifold and, in particular, of a para-Kähler manifold. We give characterization theorems for neutral slant and semi-neutral slant submanifolds. We also investigate the integrability conditions for the distributions involved in the definition of a semi-neutral slant submanifold when the ambient manifold is a para-Kähler manifold.