Some classes of sprays in projective spray geometry

DOI10.1016/j.difgeo.2011.04.041zbMath1219.53027OpenAlexW2072714828WikidataQ115356843 ScholiaQ115356843MaRDI QIDQ549979

Guo Jun Yang

Publication date: 19 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.041

zbMATH Keywords

sprayRicci curvatureflag curvatureprojective change

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 (14)

Submersion and homogeneous spray geometry ⋮ PROJECTIVE AND FINSLER METRIZABILITY: PARAMETERIZATION-RIGIDITY OF THE GEODESICS ⋮ Sprays metrizable by Finsler functions of constant flag curvature ⋮ Sprays of weakly isotropic curvature ⋮ Metrizability of Holonomy Invariant Projective Deformation of Sprays ⋮ Parallel translations for a left invariant spray ⋮ On sprays of scalar curvature and metrizability ⋮ Sprays of isotropic curvature ⋮ Left invariant spray structure on Lie group ⋮ On a projectively invariant distance on Finsler spaces of constant negative Ricci scalar ⋮ Inverse problem of left invariant sprays on Lie groups ⋮ On Sakaguchi-type result in projective spray geometry ⋮ Inverse problem of sprays with scalar curvature ⋮ The characterizations and constructions of sprays of isotropic curvature

Cites Work

• Sur le problème inverse du calcul des variations : existence de lagrangiens associés à un spray dans le cas isotrope. (On the inverse problem of the variational calculus: existence of Lagrangians associated with a spray in the isotropic case.)
• A comparison theorem on the Ricci curvature in projective geometry
• Projectively flat Finsler metrics of constant flag curvature
• On projectively related Einstein metrics in Riemann-Finsler geometry
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