Document Details Document Type : Article In Journal  Document Title : A note on warped product submanifolds of Kenmotsu manifolds A note on warped product submanifolds of Kenmotsu 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. [HONG, S. T.: Warped products and black holes, Nuovo Cimento Soc. Ital. Fis. B 120 (2005), 1227-1234]). The studies on warped product manifolds with extrinsic geometric point of view are intensified after B. Y. Chen's work on CR-warped product submanifolds of Kaehler manifolds. Later on, similar studies are carried out in the setting of Sasakian manifolds by Hasegawa and Mihai. As Kenmotsu manifolds are themselves warped product spaces, it is interesting to investigate warped product submanifolds of Kenmotsu manifolds. In the present note a larger class of warped product submanifolds than the class of contact CR-warped product submanifolds is considered. More precisely the existence of warped product submanifolds of a Kenmotsu manifold with one of the factors an invariant submanifold is ensured, an example of such submanifolds is provided and a characterization for a contact CR-submanifold to be a contact CR-warped product submanifold is established.  ISSN : 0139-9918  Journal Name : Mathematica Slovaca  Volume : 61  Issue Number : 1  Publishing Year : 1432 AH 2011 AD  Article Type : Article  Added Date : Wednesday, June 13, 2012  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email فيقار أعظم خان Khan, Viqar Azam Researcher Doctorate viqarster@gmail.com Khalid Ali Khan Khan, Khalid Ali Researcher Doctorate khalid.mathematics@gmail.com Siraj -Uddin -Uddin, Siraj Researcher Doctorate siraj.ch@gmail.com Files File Name Type Description  33592.pdf pdf Abstract Back To Researches Page