Statistical structures on the tangent bundle of a statistical manifold with Sasaki metric

Vladimir BALAN; E. PEYGHAN; Esa SHARAHİ

doi:https://doi.org/10.15672/HJMS.2019.667

Makale detayları

Statistical structures on the tangent bundle of a statistical manifold with Sasaki metric

Yazarlar:

Vladimir BALAN | E. PEYGHAN | Esa SHARAHİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 1, pp.120-135

Belge Tipi:

Makale

Yayın Tarihi:

2/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451243

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/HJMS.2019.667

Özet:

 

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

Makale detayları

Statistical structures on the tangent bundle of a statistical manifold with Sasaki metric

Yazarlar: Vladimir BALAN | E. PEYGHAN | Esa SHARAHİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 1, pp.120-135

Belge Tipi: Makale

Yayın Tarihi: 2/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000451243

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/HJMS.2019.667

Sayı

Yazarlar:

Vladimir BALAN | E. PEYGHAN | Esa SHARAHİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 1, pp.120-135

Belge Tipi:

Makale

Yayın Tarihi:

2/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451243

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/HJMS.2019.667