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Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds

Author

Listed:
  • Abdullah Ali H. Ahmadini

    (Department of Mathematics, College of Science, Jazan University, P.O. Box 277, Jazan 4512, Saudi Arabia)

  • Mohd. Danish Siddiqi

    (Department of Mathematics, College of Science, Jazan University, P.O. Box 277, Jazan 4512, Saudi Arabia)

  • Aliya Naaz Siddiqui

    (Division of Mathematics, School of Basic Sciences, Galgotias University, Greater Noida 203201, UP, India)

Abstract

In this article, we delve into the study of statistical solitons on submanifolds of Kenmotsu statistical manifolds, introducing the presence of concircular vector fields. This investigation is further extended to study the behavior of almost quasi-Yamabe solitons on submanifolds with both concircular and concurrent vector fields. Concluding our research, we offer a compelling example featuring a 5-dimensional Kenmotsu statistical manifold that accommodates both a statistical soliton and an almost quasi-Yamabe soliton. This example serves to reinforce and validate the principles discussed throughout our study.

Suggested Citation

  • Abdullah Ali H. Ahmadini & Mohd. Danish Siddiqi & Aliya Naaz Siddiqui, 2024. "Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds," Mathematics, MDPI, vol. 12(9), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1279-:d:1381336
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    References listed on IDEAS

    as
    1. Paul Vos, 1989. "Fundamental equations for statistical submanifolds with applications to the Bartlett correction," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(3), pages 429-450, September.
    2. Aliya Naaz Siddiqui & Bang-Yen Chen & Oguzhan Bahadir, 2019. "Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds," Mathematics, MDPI, vol. 7(9), pages 1-19, September.
    3. Gomez, Ignacio S., 2017. "Notions of the ergodic hierarchy for curved statistical manifolds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 117-131.
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