IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v535y2019ics0378437119314049.html
   My bibliography  Save this article

Conformally-projectively flat trans-Sasakian statistical manifolds

Author

Listed:
  • Kazan, Ahmet

Abstract

In this study, the notion of trans-Sasakian statistical manifold is defined, some results for this manifold’s curvature tensors are given, an example of 3-dimensional trans-Sasakian statistical manifold is constructed and some characterizations about ξ-conformal-projective flatness of a trans-Sasakian statistical manifold are given.

Suggested Citation

  • Kazan, Ahmet, 2019. "Conformally-projectively flat trans-Sasakian statistical manifolds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
  • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119314049
    DOI: 10.1016/j.physa.2019.122441
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119314049
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2019.122441?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ali, S.A. & Cafaro, C. & Kim, D.-H. & Mancini, S., 2010. "The effect of microscopic correlations on the information geometric complexity of Gaussian statistical models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3117-3127.
    2. Jun Zhang, 2007. "A note on curvature of α-connections of a statistical manifold," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(1), pages 161-170, March.
    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. 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).
    2. 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.

    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:eee:phsmap:v:535:y:2019:i:c:s0378437119314049. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.