Warped product semi-slant submanifolds in locally conformal Kaehler manifolds

<p>In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of <em>CR</em>- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V. A. Khan and M....

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Bibliographic Details
Main Author: Koji Matsumoto
Format: Article
Language:English
Published: Odesa National University of Technology 2017-10-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http://journals.gsjp.eu/index.php/geometry/article/view/650
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Summary:<p>In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of <em>CR</em>- 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.</p>
ISSN:2072-9812
2409-8906