Left invariant Clifford-Wolf homogeneous \(\alpha, \beta)\)-metrics on compact semisimple Lie groups

DOI10.1007/s00031-014-9294-5zbMath1320.53090arXiv1301.1813OpenAlexW2006884563WikidataQ115389462 ScholiaQ115389462MaRDI QIDQ2353484

Ming Xu, Shaoqiang Deng

Publication date: 14 July 2015

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1813

zbMATH Keywords

semisimple Lie groupsClifford-Wolf translationleft invariant \((\alpha,\beta)\)-metricsRanders

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (8)

Proof of Laugwitz Conjecture and Landsberg Unicorn Conjecture for Minkowski norms with -symmetry ⋮ \((\alpha_1,\alpha_2)\)-metrics and Clifford-Wolf homogeneity ⋮ Killing vector fields of constant length on Riemannian normal homogeneous spaces ⋮ Reversible homogeneous Finsler metrics with positive flag curvature ⋮ Homogeneity for a class of Riemannian quotient manifolds ⋮ A Short Survey on Lie Theory and Finsler Geometry ⋮ Homogeneous \((\alpha, \beta)\)-spaces with positive flag curvature and vanishing S-curvature ⋮ Bounded isometries and homogeneous quotients

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