Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups (Q960054)
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scientific article; zbMATH DE number 5382762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups |
scientific article; zbMATH DE number 5382762 |
Statements
Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups (English)
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16 December 2008
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A generalization of real quadratic Lie algebras, Minkowski Lie algebras, is introduced. They have previously been studied by the authors in the positive definite case [J. Phys. A, Math. Gen. 37, No. 34, 8245--8253 (2004; Zbl 1062.58007)]. A condition is found that is equivalent to a real Lie algebra admitting a positive definite Minkowski Lie algebra structure. The simple positive definite ones are classified. Applications to Finsler geometry are obtained.
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Minkowski Lie algebra
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Finsler metrics, compact Lie groups
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