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Ricci Solitons in f-Kenmotsu Manifolds with the semi-symmetric non-metric connection

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 4)

Publication Date:

Authors : ; ;

Page : 276-284

Keywords : Kenmotsu manifolds Ricci solitons semi-symmetric non-metric connection.;

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Abstract

In this study, some curvature conditions are given for 3-dimensional f-Kenmotsu manifolds with the semi-symmetric non-metric connection. It is showed that this manifold is not always xi -projective flat. Moreover, it is informed that if 3-dimensional f-Kenmotsu manifold with the semi-symmetric non-metric connection is Ricci semi-symmetric and regular, then the manifold is an Einstein manifold. Finally, it is proved that 3-dimensional f-Kenmotsu manifold with the semi-symmetric non-metric connection is also an eta-Einstein manifold and the Ricci soliton defined on this manifold is named expanding or shrinking with respect to values of f and lambda constant.

Last modified: 2017-01-26 01:08:09