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Geometry of chen invariants in statistical warped product manifolds

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Murathan, Cengizhan

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Al-Solamy, Falleh Rijaullah
Bansal, Pooja
Chen, Bang-Yen
Shahid, Mohammad Hasan

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World Scientific Publishing

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Abstract

In this paper, we derive Chen inequality for statistical submanifold of statistical warped product manifolds R x (f) M. Further, we derive Chen inequality for Legendrian statistical submanifold in statistical warped product manifolds R x (f) M. We also provide some applications of derived inequalities in a statistical warped product manifold which is equivalent to a hyperbolic space. Moreover, we construct new examples of statistical warped product manifolds to support results.

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Keywords

Statistical manifold, Statistical warped product manifold, Dual connections, Submanifolds, Curvature, Hypersurfaces

Citation

Al-Solamy, F. vd. (2020). "Geometry of Chen invariants in statistical warped product manifolds". International Journal of Geometric Methods In Moden Physics, 17(6).

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