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On M-projectively phi-symmetric (epsilon)-Kenmotsu manifolds
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 4)Publication Date: 2016-09-01
Authors : DG Prakash; Nagaraja Mahalingappa; Kakasab Mirji;
Page : 295-305
Keywords : (epsilon)-Kenmotsu manifold 3-dimensional (epsilon)-Kenmotsu manifolds phi-symmetric M-projective curvature tensor Einstein manifold constant curvature;
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Abstract
Locally and globally M-projectively phi-symmetric (epsilon)-Kenmotsu manifolds are studied. We show that a globally M-projectively phi-symmetric (epsilon)-Kenmotsu manifold is globally $phi$-symmetric. Some observations for a 3-dimensional locally M-projectively phi-symmetric (epsilon)-Kenmotsu manifold are given. We also give an example of a 3-dimensional locally M-projectively phi-symmetric (epsilon)-Kenmotsu manifold.
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Last modified: 2017-01-26 01:08:09