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Invariant hypersurfaces with semi-symmetric metric connection of Fa(K,1)-structure manifold

2012
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Advisor: Prof. Dr. Erdoğan Esin

Abstract (EN)

In this study, firstly, it is shown that the complete lift of the semisymmetric metric connection on a manifold to tangent bundle of the manifold is also semi-symmetric metric connection. Besides, by using the complete lift of the induced connection of this connection on hypersurface to the tangent bundle of hypersurface, some characterizations concerning hypersurface and structure equations of hypersurface is obtained. Secondly, by considering an induced structure on invariant hypersurface with semi-symmetric metric connection of a Fa(K,1)-structure manifold, from the tangent bundle of manifold to the tangent bundle of hypersurface induced structure is defined and these induced structures between relations is obtained.Key Words : ( ,1) Structure, Semi-Symmetric Metric Connection, F Ka ?İnvariant Hypersurface

Author

Ayşe Çiçek Gözütok

How to Cite

Ayşe Çiçek Gözütok (Doctorate thesis). Invariant hypersurfaces with semi-symmetric metric connection of Fa(K,1)-structure manifold, 2012, Gazi University.

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