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Your search keyword '"ATÇEKEN, Mehmet"' showing total 2 results
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2 results on '"ATÇEKEN, Mehmet"'

1. A Condition for Warped Product Semi-Invariant Submanifolds to be Riemannian Product Semi-Invariant Submanifolds in Locally Riemannian Product Manifolds.

Author

Atçeken, Mehmet

Subjects
*RIEMANNIAN manifolds, *MANIFOLDS (Mathematics), *DIFFERENTIAL geometry, *TOPOLOGY, *MATHEMATICAL analysis
Abstract

In this article, we give a necessary and sufficient condition for warped product semi-invariant submanifolds to be Riemannian product semi-invariant submanifolds in a locally Riemannian product manifold whose factor manifolds are real space form. [ABSTRACT FROM AUTHOR]

Published
2008

2. Submanifolds of Riemannian Product Manifolds.

Author

Atçeken, Mehmet

Subjects
*GEOMETRY, *RIEMANNIAN manifolds, *SUBMANIFOLDS, *GEODESICS, *MANIFOLDS (Mathematics)
Abstract

In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributions D, D\bot and mixed-geodesic property are studied. Finally, necessary and sufficient conditions are given on a semi-invariant submanifold of Riemannian product manifold to be D-geodesic and D\bot-geodesic. [ABSTRACT FROM AUTHOR]

Published
2005

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