Homogeneous nonlinear splittings and Finsler submersions

DOI10.1016/j.difgeo.2023.102049arXiv2111.04411OpenAlexW4385950457MaRDI QIDQ6123230

Tom Mestdag, Sándor Hajdu

Publication date: 4 March 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04411

zbMATH Keywords

submersionsbi-invariant Finsler functionshomogeneous nonlinear splittingsreductive homogeneous Finsler spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Connections (general theory) (53C05) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

• On the existence of bi-invariant Finsler metrics on Lie groups
• On singular Finsler foliation
• Flag curvatures of homogeneous Finsler spaces
• Normal homogeneous Finsler spaces
• \(\delta\)-homogeneity in Finsler geometry and the positive curvature problem
• The multiplier approach to the projective Finsler metrizability problem
• Isometric submersions of Finsler manifolds
• Homogeneous Finsler Spaces
• Invariant Lagrangians, mechanical connections and the Lagrange–Poincaré equations
• Invariants of real low dimension Lie algebras
• Connections, Sprays and Finsler Structures
• Even dimensional homogeneous Finsler spaces with positive flag curvature
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