Geodesic vectors of infinite series \((\alpha, \beta)\)-metric on hypercomplex four dimensional Lie groups

DOI10.22098/JFGA.2023.14025.1107zbMATH Open1543.53068MaRDI QIDQ6553774

Milad L. Zeinali

Publication date: 11 June 2024

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

zbMATH Keywords

complex structuresgeodesic vectorshypercomplex structuresinfinite series metrics

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)

Cites Work

• Invariant naturally reductive Randers metrics on homogeneous spaces
• On the existence of bi-invariant Finsler metrics on Lie groups
• Homogeneous geodesics in homogeneous Finsler spaces
• On the existence of homogeneous geodesics in homogeneous Riemannian manifolds
• Hypercomplex structures on four-dimensional Lie groups
• Naturally reductive homogeneous (α,β) spaces
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