Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups
type: Item
instance of: scholarly article
title: Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups
zbMATH Open document ID: 1213.17009
author: Shaoqiang Deng
author: Zixin Hou
published in: Geometriae Dedicata
publication date: 2008-12-16T00:00:00Z
review text: 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.
reviewed by: Ernest L. Stitzinger
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 17B81
zbMATH DE Number: 5382762
zbMATH Keywords: Minkowski Lie algebra
zbMATH Keywords: Finsler metrics, compact Lie groups
MaRDI profile type: Publication
full work available at URL: s10711-008-9284-7
OpenAlex ID: W2088568899
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DOI: 10.1007/S10711-008-9284-7
description: scientific article; zbMATH DE number 5382762