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Generic warped product submanifolds of locally conformal kaehler manifolds

Jamal, Nargis, Khan, Khalid Ali and Khan, Viquar Azam (2010). Generic warped product submanifolds of locally conformal kaehler manifolds. Acta Mathematica Scientia,30(5):1457-1468.

Document type: Journal Article
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Title Generic warped product submanifolds of locally conformal kaehler manifolds
Author Jamal, Nargis
Khan, Khalid Ali
Khan, Viquar Azam
Journal Name Acta Mathematica Scientia
Publication Date 2010
Volume Number 30
Issue Number 5
ISSN 0252-9602   (check CDU catalogue open catalogue search in new window)
Scopus ID 2-s2.0-77956404293
Start Page 1457
End Page 1468
Total Pages 12
Place of Publication Netherlands
Publisher Elsevier BV
Field of Research MATHEMATICAL SCIENCES
Abstract Warped product manifolds are known to have applications in physics. For instance, they provide an excellent setting to model space-time near a black hole or a massive star (cf. [9]). The studies on warped product manifolds with extrinsic geometric point of view were intensified after the B.Y. Chen's work on CR-warped product submanifolds of Kaehler manifolds (cf. [6], [7]). Later on, similar studies were carried out in the setting of l.c.K. manifolds and nearly Kaehler manifolds (cf. [3], [11]). In the present article, we investigate a larger class of warped product submanifolds of l.c.K. manifolds, ensure their existence by constructing an example of such manifolds and obtain some important properties of these submanifolds. With regard to the CR-warped product submanifold, a special case of generic warped product submanifolds, we obtain a characterization under which a CR-submanifold is reducesd to a CR-warped product submanifold.
Keywords Generic submanifold
Locally conformal Kaehler manifold
Warped product submanifold
DOI http://dx.doi.org/10.1016/S0252-9602(10)60138-5   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
 
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Created: Fri, 29 Aug 2014, 17:31:11 CST by Anthony Hornby