Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric

sharahi, esa; Balan, Vladimir; Peyghan, Esmaeil

doi:10.15672/HJMS.2019.667

Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric

Vladimir BALAN, (University Politehnica of Bucharest, Faculty of Applied Sciences,Department Mathematics-Informatics, Bucharest RO-060042, Romania)

Esmaeil PEYGHAN, (Arak University,Faculty of Science, Department of Mathematics, Arak 38156-8-8349, Iran)

Esa SHARAHİ (Arak University,Faculty of Science, Department of Mathematics, Arak 38156-8-8349, Iran)

Hacettepe Journal of Mathematics and Statistics

2 0

Yıl: 2020 Cilt: 49 Sayı: 1 Sayfa Aralığı: 120 - 135 Metin Dili: İngilizce DOI: 10.15672/HJMS.2019.667 İndeks Tarihi: 24-10-2020

Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric

Öz:

The first part of the paper is devoted to the classification of the statistical structureswhich live on the tangent bundle of a statistical manifold endowed with a Sasaki metric.Further, considering a Kähler structure on the base statistical manifold, we introducea family of almost complex structures on the tangent bundle equipped with the Sasakimetric, and find equivalent conditions for which this family induces a Kähler structure.Finally, we derive equivalent conditions for existence of holomorphic structures on thetangent bundle equipped with the Sasaki metric in the presence of a statistical structure.Several illustrative examples are provided, as well.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Balan V, Peyghan E, sharahi e (2020). Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. , 120 - 135. 10.15672/HJMS.2019.667
Chicago	Balan Vladimir,Peyghan Esmaeil,sharahi esa Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. (2020): 120 - 135. 10.15672/HJMS.2019.667
MLA	Balan Vladimir,Peyghan Esmaeil,sharahi esa Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. , 2020, ss.120 - 135. 10.15672/HJMS.2019.667
AMA	Balan V,Peyghan E,sharahi e Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. . 2020; 120 - 135. 10.15672/HJMS.2019.667
Vancouver	Balan V,Peyghan E,sharahi e Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. . 2020; 120 - 135. 10.15672/HJMS.2019.667
IEEE	Balan V,Peyghan E,sharahi e "Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric." , ss.120 - 135, 2020. 10.15672/HJMS.2019.667
ISNAD	Balan, Vladimir vd. "Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric". (2020), 120-135. https://doi.org/10.15672/HJMS.2019.667

APA	Balan V, Peyghan E, sharahi e (2020). Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. Hacettepe Journal of Mathematics and Statistics, 49(1), 120 - 135. 10.15672/HJMS.2019.667
Chicago	Balan Vladimir,Peyghan Esmaeil,sharahi esa Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. Hacettepe Journal of Mathematics and Statistics 49, no.1 (2020): 120 - 135. 10.15672/HJMS.2019.667
MLA	Balan Vladimir,Peyghan Esmaeil,sharahi esa Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. Hacettepe Journal of Mathematics and Statistics, vol.49, no.1, 2020, ss.120 - 135. 10.15672/HJMS.2019.667
AMA	Balan V,Peyghan E,sharahi e Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 120 - 135. 10.15672/HJMS.2019.667
Vancouver	Balan V,Peyghan E,sharahi e Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 120 - 135. 10.15672/HJMS.2019.667
IEEE	Balan V,Peyghan E,sharahi e "Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric." Hacettepe Journal of Mathematics and Statistics, 49, ss.120 - 135, 2020. 10.15672/HJMS.2019.667
ISNAD	Balan, Vladimir vd. "Statistical structures on the tangent bundle of astatistical manifold with Sasaki metric". Hacettepe Journal of Mathematics and Statistics 49/1 (2020), 120-135. https://doi.org/10.15672/HJMS.2019.667