On Randers spaces of constant flag curvature

DOI10.1016/S0034-4877(03)80002-2zbMath1048.53054WikidataQ126203515 ScholiaQ126203515MaRDI QIDQ1424094

Colleen Robles, David Bao

Publication date: 8 March 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

flag curvatureRanders spaceYasuda-Shimada theoremBerwald's formulaspray curvature

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (32)

Projectively flat Finsler metrics of constant flag curvature ⋮ On a class of weakly weighted Einstein metrics ⋮ The geometry of Ingarden spaces ⋮ Isoparametric hypersurfaces in a Randers sphere of constant flag curvature ⋮ On square metrics of scalar flag curvature ⋮ Projectively flat arctangent Finsler metric ⋮ On \((\alpha, \beta)\)-metrics of constant flag curvature ⋮ On a class of Einstein-reversible Finsler metrics ⋮ On Obata theorem in Randers spaces ⋮ Matsumoto metrics of constant flag curvature: a puny class of Finsler metrics with constant curvature ⋮ Wind Riemannian spaceforms and Randers-Kropina metrics of constant flag curvature ⋮ ON PROJECTIVELY RELATED RANDERS METRICS ⋮ Unnamed Item ⋮ Hilbert’s Fourth Problem and Projectively Flat Finsler Metrics ⋮ Unnamed Item ⋮ On Einstein Matsumoto metrics ⋮ On the flag curvature of invariant Randers metrics ⋮ On Randers metrics with isotropic \(S\)-curvature ⋮ Finsleroid-Finsler spaces of positive-definite and relativistic types ⋮ Constant Curvature Conditions For Generalized Kropina Spaces ⋮ Some remarks on Einstein-Randers metrics ⋮ RANDERS METRICS OF REVERSIBLE CURVATURE ⋮ A local classification of a class of \((\alpha ,\beta )\) metrics with constant flag curvature ⋮ On locally dually flat \((\alpha ,\beta )\)-metrics ⋮ Finsler manifolds with nonpositive flag curvature and constant S-curvature ⋮ Locally dually flat Finsler metrics with special curvature properties ⋮ ON LOCALLY DUALLY FLAT FINSLER METRICS ⋮ A class of Finsler metrics with isotropic S-curvature ⋮ ON RANDERS METRICS OF QUADRATIC RIEMANN CURVATURE ⋮ A FAMILY OF EINSTEIN RANDERS METRICS ⋮ Some Berwald spaces of non-positive flag curvature ⋮ RANDERS METRICS OF SCALAR FLAG CURVATURE

Cites Work

• Randers spaces of constant curvature
• On Randers spaces of scalar curvature
• The theory of sprays and Finsler spaces with applications in physics and biology
• Zermelo navigation on Riemannian manifolds
• Two-dimensional Finsler metrics with constant flag curvature
• Über Finslersche und Cartansche Geometrie. IV. Projektivkrümmung allgemeiner affiner Räume und Finslerscher Räume skalarer Krümmung
• Finsler Metrics of Constant Positive Curvature on the Lie Group S ³
• Über das Navigationsproblem bei ruhender oder veränderlicher Windverteilung
• Finsler Metrics with K = 0 and S = 0
• On an Asymmetrical Metric in the Four-Space of General Relativity
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