Statistical structures on tangent bundles and tangent Lie groups

DOI10.15672/HUJMS.645070zbMath1488.53076OpenAlexW3176841871WikidataQ115235203 ScholiaQ115235203MaRDI QIDQ5859814

Davood Seifipour, Aydin Gezer, Esmaeil Peyghan

Publication date: 17 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.645070

zbMATH Keywords

metrictangent bundlestatistical structuretangent Lie grouplift connection

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Statistical aspects of information-theoretic topics (62B10) Lie groups (22E99)

Cites Work

• Interaction of Codazzi couplings with (para-)Kähler geometry
• On the geometry of tangent bundles
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• On the Riemannian geometry of tangent Lie groups
• Codazzi-equivalent affine connections
• Affine Killing vector fields on homogeneous surfaces with torsion
• Para-Kähler hom-Lie algebras
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