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A study of wintgen like inequality for submanifolds in statistical warped product manifolds

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Murathan, Cengizhan

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Şahin, Bayram

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Springer Basel Ag

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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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Hypersurfaces, Statistical manifold, Statistical submanifold, Warped product manifold, The generalized wintgen inequality, Science & technology, Physical sciences, Mathematics

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