On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection
Pure and Applied Mathematics Journal
Volume 4, Issue 1-2, January 2015, Pages: 14-18
Received: Nov. 14, 2014; Accepted: Nov. 20, 2014; Published: Jan. 12, 2015
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Authors
Aysel Turgut Vanli, Department of Mathematics, Faculty of Arts and Sciences, Gazi University, 06500 Ankara, Turkey
Ramazan Sari, Department of Mathematics, Faculty of Arts and Sciences, Gazi University, 06500 Ankara, Turkey
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Abstract
In this paper, semi-invariant submanifolds of a generalized Kenmotsu manifold endowed with a semi-symmetric non-metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be semi-invarinat submanifold with semi-symmetric non-metric connection. Morever, we studied the integrability condition of the distribution on semi-invariant submanifolds of generalized Kenmotsu manifold with semi-symmetric non-metric connection.
Keywords
Generalized Kenmotsu Manifolds, Semi-Invariant Submanifolds, Semi-Symmetric Non-Metric Connection
To cite this article
Aysel Turgut Vanli, Ramazan Sari, On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection, Pure and Applied Mathematics Journal. Special Issue: Applications of Geometry. Vol. 4, No. 1-2, 2015, pp. 14-18. doi: 10.11648/j.pamj.s.2015040102.14
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