On the existence of bi-invariant Finsler metrics on Lie groups

DOI10.1186/2251-7456-7-37zbMath1296.53146OpenAlexW2160336921WikidataQ59299442 ScholiaQ59299442MaRDI QIDQ405467

Megerdich Toomanian, Dariush Latifi

Publication date: 5 September 2014

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-37

zbMATH Keywords

Lie groupflag curvaturehomogeneous geodesicbi-invariant metricinvariant Finsler metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (2)

More on complexity of operators in quantum field theory ⋮ Homogeneous nonlinear splittings and Finsler submersions

Cites Work

• Homogeneous geodesics and the critical points of the restricted Finsler function
• Naturally reductive homogeneous Randers spaces
• Homogeneous geodesics in homogeneous Finsler spaces
• Curvatures of left invariant metrics on Lie groups
• On homogeneous Finsler spaces
• Invariant Finsler metrics on homogeneous manifolds
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