\((\alpha_1,\alpha_2)\)-metrics and Clifford-Wolf homogeneity

DOI10.1007/s12220-015-9628-0zbMath1378.53088arXiv1401.0472OpenAlexW1029353349MaRDI QIDQ2631033

Ming Xu, Shaoqiang Deng

Publication date: 28 July 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0472

zbMATH Keywords

Finsler spaces\((\alpha_1,\alpha_2)\)-metricsCW-homogeneity

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 (11)

Proof of Laugwitz Conjecture and Landsberg Unicorn Conjecture for Minkowski norms with -symmetry ⋮ The Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere ⋮ Homogeneous Einstein \((\alpha,\beta)\)-metrics on compact simple Lie groups and spheres ⋮ Standard homogeneous (α1,α2)${\big(\alpha _1,\alpha _2\big)}$‐metrics and geodesic orbit property ⋮ Naturally reductive \((\alpha_1, \alpha_2)\) metrics ⋮ Normal homogeneous Finsler spaces ⋮ A Short Survey on Lie Theory and Finsler Geometry ⋮ Unnamed Item ⋮ Geodesic orbit spheres and constant curvature in Finsler geometry ⋮ The Landsberg equation of a Finsler space ⋮ On homogeneous Einstein \((\alpha, \beta)\)-metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Curvatures of homogeneous Randers spaces
• Clifford-Wolf homogeneous Riemannian manifolds
• Clifford-Wolf translations of Finsler spaces
• Elementary structure of real algebraic varieties
• Killing vector fields of constant length on locally symmetric Riemannian manifolds
• Locally symmetric homogeneous spaces
• The group of isometries of a left invariant Riemannian metric on a Lie group
• The group of isometries of a Finsler space.
• Clifford-Wolf translations of homogeneous Randers spheres
• Clifford-Wolf homogeneous Finsler metrics on spheres
• Left invariant Clifford-Wolf homogeneous \(\alpha, \beta)\)-metrics on compact semisimple Lie groups
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric
• Homogeneity and bounded isometries in manifolds of negative curvature
• Über die Finsler-Räume mit \(A_i=0\)
• Clifford-Wolf homogeneous Randers spaces
• Homogeneous Finsler Spaces
• CLIFFORD-WOLF TRANSLATIONS OF LEFT INVARIANT RANDERS METRICS ON COMPACT LIE GROUPS
• On a Class of Landsberg Metrics in Finsler Geometry
• KILLING FRAMES AND S-CURVATURE OF HOMOGENEOUS FINSLER SPACES
• On \(\delta \)-homogeneous Riemannian manifolds

This page was built for publication: \((\alpha_1,\alpha_2)\)-metrics and Clifford-Wolf homogeneity