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: 2016-09-01
Authors : Cumali Ekici; Tolga Demirli;
Page : 276-284
Keywords : Kenmotsu manifolds Ricci solitons semi-symmetric non-metric connection.;
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.
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