ON THE RANDERS METRICS ON TWO-STEP HOMOGENEOUS NILMANIFOLDS OF DIMENSION FIVE

DOI10.1142/S0219887811005257zbMath1226.53073arXiv1305.2857WikidataQ57705995 ScholiaQ57705995MaRDI QIDQ3087425

Hamid Reza Salimi Moghaddam

Publication date: 16 August 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2857

zbMATH Keywords

sectional curvatureinvariant metricBerwald spacetwo-step nilpotent Lie groupflag curvatureRanders space

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)

Related Items

Geometry of left-invariant Randers metric on the Heisenberg groups ⋮ Some geometric vector fields on 5-dimensional 2-step homogeneous nilmanifolds ⋮ Geodesic vectors of invariant square metrics on nilpotent Lie groups of dimension five ⋮ Left invariant Randers metrics of Berwald type on tangent Lie groups ⋮ Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds ⋮ On invariant Matsumoto metrics ⋮ Left invariant lifted $(\alpha,\beta)$-metrics of Douglas type on tangent Lie groups

Cites Work

• Homogeneous Finsler spaces of negative curvature
• On the flag curvature of invariant Randers metrics
• Some Berwald spaces of non-positive flag curvature
• Homogeneous nilmanifolds of dimensions 3 and 4
• Invariant Randers metrics on homogeneous Riemannian manifolds
• ON SOME HYPERCOMPLEX 4-DIMENSIONAL LIE GROUPS OF CONSTANT SCALAR CURVATURE
• Invariant Finsler metrics on homogeneous manifolds
• Flag curvature of invariant Randers metrics on homogeneous manifolds
• On an Asymmetrical Metric in the Four-Space of General Relativity