On contact metric statistical manifolds |
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| Affiliation: | Department of Mathematics, Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran |
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| Abstract: | A notion of almost contact metric statistical structure is introduced and thereby contact metric and K-contact statistical structures are defined. Furthermore a necessary and sufficient condition for a contact metric statistical manifold to admit K-contact statistical structure is given. Finally, the condition for an odd-dimensional statistical manifold to have K-contact statistical structure is expressed. |
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| Keywords: | Statistical manifolds Almost contact metric manifolds Contact metric manifolds K-contact manifolds |
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