TY - JOUR
T1 - Generic warped product submanifolds of locally conformal keahler manifolds
AU - Jamal, Nargis
AU - Khan, Khalid Ali
AU - Khan, Viqar Azam
PY - 2010/9/1
Y1 - 2010/9/1
N2 - 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.
AB - 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.
KW - Generic submanifold
KW - Locally conformal Kaehler manifold
KW - Warped product submanifold
UR - http://www.scopus.com/inward/record.url?scp=77956404293&partnerID=8YFLogxK
U2 - 10.1016/S0252-9602(10)60138-5
DO - 10.1016/S0252-9602(10)60138-5
M3 - Article
AN - SCOPUS:77956404293
SN - 0252-9602
VL - 30
SP - 1457
EP - 1468
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
IS - 5
ER -