GENERIC WARPED PRODUCT SUBMANIFOLDS OF LOCALLY CONFORMAL KEAHLER MANIFOLDS  

作　　者：Nargis Jamal Khalid Ali Khan Viqar Azam Khan 

机构地区：[1]Department of Mathematics,Aligarh Muslim University [2]School of Engineering and Logistics,Faculty of Technology,Charles Darwin University [3]Department of Mathematics,College of Science,P.O.Box 80203,King Abdul Aziz University

出　　处：《Acta Mathematica Scientia》2010年第5期1457-1468,共12页数学物理学报（B辑英文版）

基　　金：supported by the research grant(162/428)of the Research centre,faculty of Science,King Abdul Aziz University, K.S.A

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 1.c.K. manifolds and nearly Kaehler manifolds （el. [3], [11]）. In the present article, we investigate a larger class of warped product submanifolds of 1.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.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 1.c.K. manifolds and nearly Kaehler manifolds （el. [3], [11]）. In the present article, we investigate a larger class of warped product submanifolds of 1.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 

分 类 号：O186.12[理学—数学] TS251.65[理学—基础数学]