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Document Details
Document Type
:
Article In Journal
Document Title
:
Generic warped product submanifolds of locally conformal keahler manifolds
Generic warped product submanifolds of locally conformal keahler manifolds
Subject
:
Mathematics
Document Language
:
English
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.
ISSN
:
0252-9602
Journal Name
:
Acta Mathematica Scientia
Volume
:
30
Issue Number
:
5
Publishing Year
:
1431 AH
2010 AD
Article Type
:
Article
Added Date
:
Sunday, October 30, 2011
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
Nargis Jamal
Jamal, Nargis
Researcher
Doctorate
jamal.nargis@gmail.com
Khalid Ali Khan
Khan, Khalid Ali
Researcher
Doctorate
khalid.mathematics@gmail.com
فيقار أعظم خان
Khan, Viqar Azam
Researcher
Doctorate
viqarster@gmail.com
Files
File Name
Type
Description
31202.pdf
pdf
Abstract
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