A note on warped product submanifolds of cosymplectic manifolds

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...

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Main Authors: Uddin, S., Khan, V.A., Khan, K.A.
Format: Article
Published: Faculty of Science and Mathematics - University of Nis 2010
Subjects:
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author Uddin, S.
Khan, V.A.
Khan, K.A.
author_facet Uddin, S.
Khan, V.A.
Khan, K.A.
author_sort Uddin, S.
collection UM
description 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.
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spelling um.eprints-124332015-01-28T03:30:14Z http://eprints.um.edu.my/12433/ A note on warped product submanifolds of cosymplectic manifolds Uddin, S. Khan, V.A. Khan, K.A. Q Science (General) 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. Faculty of Science and Mathematics - University of Nis 2010 Article PeerReviewed Uddin, S. and Khan, V.A. and Khan, K.A. (2010) A note on warped product submanifolds of cosymplectic manifolds. Filomat, 24 (3). pp. 95-102.
spellingShingle Q Science (General)
Uddin, S.
Khan, V.A.
Khan, K.A.
A note on warped product submanifolds of cosymplectic manifolds
title A note on warped product submanifolds of cosymplectic manifolds
title_full A note on warped product submanifolds of cosymplectic manifolds
title_fullStr A note on warped product submanifolds of cosymplectic manifolds
title_full_unstemmed A note on warped product submanifolds of cosymplectic manifolds
title_short A note on warped product submanifolds of cosymplectic manifolds
title_sort note on warped product submanifolds of cosymplectic manifolds
topic Q Science (General)
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