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http://dx.doi.org/10.4134/BKMS.2014.51.3.863

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.3, 2014 , pp. 863-881 More about this Journal
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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