Article

Almost cosympletic statistical manifolds

Published in: Quaestiones Mathematicae
Volume 43 , issue 2 , 2020 , pages: 265–282

DOI: 10.2989/16073606.2019.1576069

Author(s): İrem Küpeli Erken Department of Mathematics, Faculty of Engineering and Natural Sciences, Turkey , Cengizhan Murathan Department of Mathematics, Art and Science Faculty, Turkey , Aziz Yazla Department of Mathematics, Science Faculty, Turkey

Keywords: Primary: 53B30 , 53C15 , 53C25 , Secondary: 53D10 , Primary: 53B30 , 53C15 , 53C25 , Secondary: 53D10

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Abstract

This paper is a study of almost contact statistical manifolds. Especially this study is focused on almost cosymplectic statistical manifolds. We obtained basic properties of such manifolds. A characterization theorem and a corollary for the almost cosymplectic statistical manifold with Kaehler leaves are proved. We also study curvature properties of an almost cosymplectic statistical manifold. Moreover, examples are constructed.

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