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WARPED PRODUCT SEMI-SLANT SUBMANIFOLDS IN LOCALLY RIEMANNIAN PRODUCT MANIFOLDS

Part of: Global differential geometry

Published online by Cambridge University Press:  01 April 2008

MEHMET ATÇEKEN
MEHMET ATÇEKEN*
Affiliation:
GOP University, Faculty of Arts and Sciences, Department of Mathematics, 60200 Tokat, Turkey (email: [email protected])
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Abstract

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In this paper, we prove that there are no warped product proper semi-slant submanifolds such that the spheric submanifold of a warped product is a proper slant. But we show by means of examples the existence of warped product semi-slant submanifolds such that the totally geodesic submanifold of a warped product is a proper slant submanifold in locally Riemannian product manifolds.

Keywords

warped productslant distributionsemi-slant submanifoldspheric foliation and locally Riemannian product manifold

MSC classification

Secondary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C40: Global submanifolds
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 2 , April 2008 , pp. 177 - 186
Copyright
Copyright © 2008 Australian Mathematical Society

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