- Volume 51 Issue 3
DOI QR Code
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
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. ). 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.
CR-submanifold;warped product;Kenmotsu manifold
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