On Semi-Symmetric Metric Connection in a Generalized (k,μ) Space Forms

Shivaprasanna G.S.; Y.B.Maralabhavi; Somashekhara G

doi:https://doi.org/10.14445/22315373/IJMTT-V9P521

International Journal of Mathematics Trends and Technology

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Volume 9 | Number 3 | Year 2014 | Article Id. IJMTT-V9P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P521

On Semi-Symmetric Metric Connection in a Generalized (k,μ) Space Forms

Shivaprasanna G.S. , Y.B.Maralabhavi , Somashekhara G

Abstract

In this paper we study some properties of curvature tensor on semi-symmetric metric connection in a generalized space forms. As a consequence of these results we investigate the conditions for a generalized space forms to be -projectively semi-symmetric, -projectively semi-symmetric and Ricci semi-symmetric with respect to semi-symmetric metric connection. In all these cases the manifold becomes an -Einstein manifold.

Keywords

generalized space forms, Ricci semi-symmetric, projective curvature tensor, -projectively semi-symmetric, -projectively semi-symmetric, -Einstein manifolds.

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Citation :

Shivaprasanna G.S. , Y.B.Maralabhavi , Somashekhara G, "On Semi-Symmetric Metric Connection in a Generalized (k,μ) Space Forms," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 3, pp. 173-188, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P521