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Coisotropic Warped Product Submanifolds of a Mixed 3-Sasakian Statistical Manifold

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Abstract

In this paper, we study the geometry of invariant lightlike submanifolds of a mixed 3-Sasakian statistical manifold. We characterize the integrability of the various distributions of them with respect to their totally geodesic nature and the statistical shape operators. We also characterize totally umbilical distributions of a warped product lightlike submanifolds of a statistical manifold. Moreover, we show that invariant lightlike submanifolds of a mixed 3-Sasakian statistical manifold with tangent structure vector fields inherit a mixed 3-Sasakian statistical structure. Further, we give an example of a specific type of coisotropic warped product submanifold of a mixed 3-Sasakian statistical manifold which is not an invariant submanifold.

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Acknowledgements

The authors express sincerely thanks to the referees for their valuable suggestions and opinions towards the improvement of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

    Sara Miri & Mohammad Ilmakchi

  2. Department of Mathematics, University of Zanjan, P.B. 45195-313, Zanjan, Iran

    Mohammad Bagher Kazemi Balgeshir

Authors
  1. Sara Miri
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  2. Mohammad Ilmakchi
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  3. Mohammad Bagher Kazemi Balgeshir
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Contributions

S.M., M.I and M.B contributed to the study conception and design equally. All authors read and approved the final manuscript.

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Correspondence to Mohammad Bagher Kazemi Balgeshir.

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Miri, S., Ilmakchi, M. & Kazemi Balgeshir, M.B. Coisotropic Warped Product Submanifolds of a Mixed 3-Sasakian Statistical Manifold. Int J Theor Phys 63, 130 (2024). https://doi.org/10.1007/s10773-024-05658-z

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