Publication: A study of wintgen like inequality for submanifolds in statistical warped product manifolds
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Date
2018-08-01
Authors
Murathan, Cengizhan
Authors
Şahin, Bayram
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Basel Ag
Abstract
In this paper, we study statistical manifolds and their submanifolds. We first construct two new examples of statistical warped product manifolds and give a method how to construct Kenmotsu-like statistical manifold and cosymplectic-like statistical manifold based on the existence of Kaehler-like statistical manifold. Then we obtain the general Wintgen inequality for statistical submanifolds of statistical warped product manifolds.
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Keywords
Hypersurfaces, Statistical manifold, Statistical submanifold, Warped product manifold, The generalized wintgen inequality, Science & technology, Physical sciences, Mathematics