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SOME WARPED PRODUCT SUBMANIFOLDS OF A KENMOTSU MANIFOLD

  • Khan, Viqar Azam (Department of Mathematics Aligarh Muslim University) ;
  • Shuaib, Mohammad (Department of Mathematics Aligarh Muslim University)
  • Received : 2013.05.21
  • Published : 2014.05.31

Abstract

Many differential geometric properties of a submanifold of a Kaehler manifold are conceived via canonical structure tensors T and F on the submanifold. For instance, a CR-submanifold of a Kaehler manifold is a CR-product if and only if T is parallel on the submanifold (c.f. [2]). Warped product submanifolds are generalized version of CR-product submanifolds. Therefore, it is natural to see how the non-triviality of the covariant derivatives of T and F gives rise to warped product submanifolds. In the present article, we have worked out characterizations in terms of T and F under which a contact CR- submanifold of a Kenmotsu manifold reduces to a warped product submanifold.

Keywords

CR-submanifold;warped product;Kenmotsu manifold

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