Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups

DOI10.1007/s10711-008-9284-7zbMath1213.17009OpenAlexW2088568899MaRDI QIDQ960054

Zixin Hou, Shaoqiang Deng

Publication date: 16 December 2008

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-008-9284-7

zbMATH Keywords

Finsler metrics, compact Lie groupsMinkowski Lie algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

More on complexity of operators in quantum field theory ⋮ Higher rank rigidity for Berwald spaces

Cites Work

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• Metric Lie algebras and quadratic extensions
• On the \(C^\infty\) Chevalley's theorem
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• The theory of sprays and Finsler spaces with applications in physics and biology
• Metric Lie algebras with maximal isotropic centre
• A unified extension of two results of Ky Fan on the sum of matrices
• Wess-Zumino-Witten model based on a nonsemisimple group
• Invariant Finsler metrics on homogeneous manifolds
• The Yang-Mills equations over Riemann surfaces

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