A comparison theorem on the Ricci curvature in projective geometry

DOI10.1023/A:1022446831429zbMath1043.53059OpenAlexW164399530MaRDI QIDQ1811006

Xinyue Chen, Zhong-min Shen

Publication date: 9 June 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022446831429

zbMATH Keywords

spraygeodesicsprojective equivalenceFinsler metricsRiemannian metricsRicci curvatures

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (12)

Application of the Hopf Maximum Principle to the Theory of Geodesic Mappings ⋮ Volume and projective equivalence between Riemannian manifolds ⋮ What is the Bochner technique and where is it applied ⋮ Vanishing theorems for harmonic mappings into non-negatively curved manifolds and their applications ⋮ On recurrent Riemannian and Ricci curvatures of Finsler metrics ⋮ On a projectively invariant distance on Finsler spaces of constant negative Ricci scalar ⋮ On the Ricci curvature of a Randers metric of isotropic \(S\)-curvature ⋮ Some classes of sprays in projective spray geometry ⋮ On projectively related of two special classes of \((\alpha , \beta )\)-metrics ⋮ Weighted projective Ricci curvature in Finsler geometry ⋮ The characterizations and constructions of sprays of isotropic curvature ⋮ On a projectively invariant pseudo-distance in Finsler geometry

This page was built for publication: A comparison theorem on the Ricci curvature in projective geometry