On the Riemannian geometry of tangent Lie groups

DOI10.1007/s12215-017-0304-zzbMath1401.53011OpenAlexW2607045135WikidataQ57705988 ScholiaQ57705988MaRDI QIDQ1783563

F. Asgari, Hamid Reza Salimi Moghaddam

Publication date: 21 September 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-017-0304-z

zbMATH Keywords

sectional curvatureleft-invariant Riemannian metricRicci curvaturescomplete and vertical liftstangent Lie group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Lie algebras of Lie groups (22E60) General properties and structure of real Lie groups (22E15) Methods of local Riemannian geometry (53B21)

Related Items (7)

T-FLATNESS AND BOCHNER FLATNESS OF THE TANGENT BUNDLES OF LIE GROUPS ⋮ Unnamed Item ⋮ Left invariant Randers metrics of Berwald type on tangent Lie groups ⋮ Riemannian geometry of two families of tangent Lie groups ⋮ On the tangent Lie group of a symplectic Lie group ⋮ Left invariant lifted $(\alpha,\beta)$-metrics of Douglas type on tangent Lie groups ⋮ Statistical structures on tangent bundles and tangent Lie groups

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• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups

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