Statistical structures on tangent bundles and tangent Lie groups

Esmaeil PEYGHAN; Davood SEİFİPOUR; Aydın GEZER

doi:https://doi.org/10.15672/hujms.645070

Makale detayları

Statistical structures on tangent bundles and tangent Lie groups

Yazarlar:

Esmaeil PEYGHAN | Davood SEİFİPOUR | Aydın GEZER

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1140-1154

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450590

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.645070

Özet:

 

Let TMTMTM be a tangent bundle over a Riemannian manifold MMM with a Riemannian metric ggg and TGTGTG be a tangent Lie group over a Lie group with a left-invariant metric ggg. The purpose of the paper is two folds. Firstly, we study statistical structures on the tangent bundle TMTMTM equipped with two Riemannian ggg-natural metrics and lift connections. Secondly, we define a left-invariant complete lift connection on the tangent Lie group TGTGTG equipped with metric ~gg~\tilde{g} introduced in [F. Asgari and H. R. Salimi Moghaddam, On the Riemannian geometry of tangent Lie groups, Rend. Circ. Mat. Palermo II. Series, 2018] and study statistical structures in this setting.

Makale detayları

Statistical structures on tangent bundles and tangent Lie groups

Yazarlar: Esmaeil PEYGHAN | Davood SEİFİPOUR | Aydın GEZER

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1140-1154

Belge Tipi: Makale

Yayın Tarihi: 8/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450590

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.645070

Sayı

Yazarlar:

Esmaeil PEYGHAN | Davood SEİFİPOUR | Aydın GEZER

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1140-1154

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450590

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.645070