IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i9p1279-d1381336.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/9/1279/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/9/1279/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Aliya Naaz Siddiqui & Mohd Danish Siddiqi & Ali Hussain Alkhaldi, 2022. "Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds," Mathematics, MDPI, vol. 10(2), pages 1-15, January.
    2. Adela Mihai & Ion Mihai, 2018. "Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature," Mathematics, MDPI, vol. 6(3), pages 1-8, March.
    3. 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.
    4. Hülya Aytimur & Mayuko Kon & Adela Mihai & Cihan Özgür & Kazuhiko Takano, 2019. "Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds," Mathematics, MDPI, vol. 7(12), pages 1-19, December.
    5. Gomez, Ignacio S. & Portesi, Mariela & Borges, Ernesto P., 2020. "Universality classes for the Fisher metric derived from relative group entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    6. Ion Mihai & Radu-Ioan Mihai, 2021. "A New Algebraic Inequality and Some Applications in Submanifold Theory," Mathematics, MDPI, vol. 9(11), pages 1-10, May.
    7. Chul Woo Lee & Jae Won Lee, 2018. "Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures," Mathematics, MDPI, vol. 6(11), pages 1-10, November.
    8. Meraj Ali Khan & Ibrahim Aldayel, 2020. "Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms," Mathematics, MDPI, vol. 8(8), pages 1-19, August.
    9. Ion Mihai & Radu-Ioan Mihai, 2022. "General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature," Mathematics, MDPI, vol. 10(17), pages 1-9, August.
    10. Simona Decu, 2022. "Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    11. Aliya Naaz Siddiqui & Ali Hussain Alkhaldi & Lamia Saeed Alqahtani, 2022. "Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature," Mathematics, MDPI, vol. 10(10), pages 1-10, May.
    12. Kazan, Ahmet, 2019. "Conformally-projectively flat trans-Sasakian statistical manifolds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    13. Oğuzhan Bahadır & Aliya Naaz Siddiqui & Mehmet Gülbahar & Ali Hussain Alkhaldi, 2022. "Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations," Mathematics, MDPI, vol. 10(13), pages 1-18, June.
    14. Hülya Aytimur & Adela Mihai & Cihan Özgür, 2021. "Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds," Mathematics, MDPI, vol. 9(11), pages 1-13, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1279-:d:1381336. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.