Geometry of left-invariant Randers metric on the Heisenberg groups

DOI10.1108/AJMS-01-2021-0015MaRDI QIDQ5887761

Shahroud Azami, Ghodratallah Fasihi Ramandi

Publication date: 13 April 2023

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02521

zbMATH Keywords

Heisenberg groupflag curvatureRanders metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Cites Work

• Invariant naturally reductive Randers metrics on homogeneous spaces
• Homogeneous geodesics in homogeneous Finsler spaces
• Curvatures of left invariant metrics on Lie groups
• Classification of left-invariant metrics on the Heisenberg group
• Left invariant Randers metrics on the 3-dimensional Heisenberg group
• Homogeneous Finsler Spaces
• ON THE RANDERS METRICS ON TWO-STEP HOMOGENEOUS NILMANIFOLDS OF DIMENSION FIVE
• Curvatures of left invariant Randers metric on the five-dimensional Heisenberg group
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