GENERIC WARPED PRODUCT SUBMANIFOLDS %OF LOCALLY CONFORMAL KEAHLER MANIFOLDS

doi:S0252-9602(10)60138-5

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1457-1468.doi: S0252-9602(10)60138-5

GENERIC WARPED PRODUCT SUBMANIFOLDS %OF LOCALLY CONFORMAL KEAHLER MANIFOLDS

Nargis Jamal|Khalid Ali Khan|Viqar Azam Khan

Department of Mathematics, Aligarh Muslim University, |Aligarh-202 002, India；School of Engineering and Logistics, Faculty of Technology,
Charles Darwin University, NT-0909, Australia；Department of Mathematics,College of Science, P.O. Box 80203, King Abdul Aziz University, Jeddah-21589, K.S.A.

收稿日期:2008-10-23 出版日期:2010-09-20 发布日期:2010-09-20
基金资助:
This work is supported by the research grant (162/428) of the Research centre, faculty of Science, King Abdul Aziz University, K.S.A.

GENERIC WARPED PRODUCT SUBMANIFOLDS %OF LOCALLY CONFORMAL KEAHLER MANIFOLDS

Nargis Jamal|Khalid Ali Khan|Viqar Azam Khan

Department of Mathematics, Aligarh Muslim University, |Aligarh-202 002, India；School of Engineering and Logistics, Faculty of Technology,
Charles Darwin University, NT-0909, Australia；Department of Mathematics,College of Science, P.O. Box 80203, King Abdul Aziz University, Jeddah-21589, K.S.A.

Received:2008-10-23 Online:2010-09-20 Published:2010-09-20
Supported by:
This work is supported by the research grant (162/428) of the Research centre, faculty of Science, King Abdul Aziz University, K.S.A.

摘要/Abstract

摘要：

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.

关键词: warped product submanifold, locally conformal Kaehler manifold, generic submanifold

Abstract:

Key words: warped product submanifold, locally conformal Kaehler manifold, generic submanifold

中图分类号:

53C40

Nargis Jamal??20Khalid Ali Khan, Viqar Azam Khan. GENERIC WARPED PRODUCT SUBMANIFOLDS %OF LOCALLY CONFORMAL KEAHLER MANIFOLDS[J]. 数学物理学报(英文版), 2010, 30(5): 1457-1468.

Nargis Jamal??20Khalid Ali Khan, Viqar Azam Khan. GENERIC WARPED PRODUCT SUBMANIFOLDS %OF LOCALLY CONFORMAL KEAHLER MANIFOLDS[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1457-1468.

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GENERIC WARPED PRODUCT SUBMANIFOLDS %OF LOCALLY CONFORMAL KEAHLER MANIFOLDS

GENERIC WARPED PRODUCT SUBMANIFOLDS %OF LOCALLY CONFORMAL KEAHLER MANIFOLDS

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