A note on warped product submanifolds of cosymplectic manifolds

Document Type

Article

Publication Date

1-1-2010

Abstract

In this paper, we study warped product anti-slant submanifolds of cosymplectic manifolds. It is shown that the cosymplectic manifold do not admit non trivial warped product submanifolds in the form N(perpendicular to) x (f)N(theta) and then we obtain some results for the existence of warped products of the type N(theta) x (f)N(perpendicular to), where N(perpendicular to) and N(theta) are anti-invariant and proper slant submanifolds of a cosymplectic manifold (M) over bar, respectively.

Keywords

Warped product, slant submanifold, anti-slant submanifold, cosymplectic manifold

Publication Title

Filomat

Volume

24

Issue

3

Publisher

Faculty of Science and Mathematics - University of Nis

Publisher Location

PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG

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