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Statistical structures on the tangent bundle of a statistical manifold with Sasaki metric
2020
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/HJMS.2019.667
Abstract:

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.

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2020
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/HJMS.2019.667
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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 1.771
Cite : 681
2023 Impact : 0.004
Details
Hacettepe Journal of Mathematics and Statistics