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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds

Journal: Journal “Proceedings of the International Geometry Center” (Vol.10, No. 2)

Publication Date:

Authors : ;

Page : 8-23

Keywords : Locally conformal Kaehler manifold; slant distribution; semi-slant submanifold; warped product semi-slant submanifold;

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Abstract

In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V. A. Khan and M. A. Khan considered this submanifold in a nearly Kaehler manifold and obtained interesting results, [11]. Recently, we considered semi-slant submanifolds in a locally conformal Kaehler manifold and gave a necessary and sufficient conditions for two distributions (holomorphic and slant) to be integrable. Moreover, we considered these submanifolds in a locally conformal Kaehler space form, [4]. In this paper, we define 2-kind warped product semi-slant submanifolds in a locally conformal Kaehler manifold and consider some properties of these submanifolds.

Last modified: 2018-01-31 05:11:12