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Conformally-projectively flat trans-Sasakian statistical manifolds

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  • 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
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    References listed on IDEAS

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    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.
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