Structure of geodesics in weakly symmetric Finsler metrics on H-type groups

DOI10.5817/AM2020-5-265MaRDI QIDQ5140383

Zdeněk Dušek

Publication date: 15 December 2020

Published in: Archivum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Finsler spaceweakly symmetric spacehomogeneous geodesicg.o. spacegeodesic graph

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (1)

Geodesic orbit Finsler \((\alpha,\beta)\) metrics

Cites Work

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• Finsler spaces whose geodesics are orbits
• Homogeneous geodesics in homogeneous Finsler spaces
• On geodesic graphs of Riemannian g. o. spaces
• Modified \(H\)-type groups and symmetric-like Riemannian spaces
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Geodesics in weakly symmetric spaces
• Geodesic orbit Riemannian structures on \(\mathbf{R}^n\)
• Homogeneous Finsler Spaces
• Riemannian flag manifolds with homogeneous geodesics
• Structure of geodesics in the flag manifold SO(7)/U(3)
• Commutative Algebras of Invariant Functions on Groups of Heisenberg Type
• Geodesic graphs on the 13–dimensional group of Heisenberg type
• Homogeneous geodesics and g.o. manifolds
• Geodesic graphs in Randers g.o. spaces

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