Ricci Curvature Tensor and Non-Riemannian Quantities

DOI10.4153/CMB-2014-063-4zbMath1327.53022OpenAlexW2058655323WikidataQ115213897 ScholiaQ115213897MaRDI QIDQ2950672

Zhong-min Shen, Ben-ling Li

Publication date: 9 October 2015

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2014-063-4

zbMATH Keywords

sprayRicci curvatureFinsler metricnon-Riemannian quantity

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

Ricci-flat Finsler metrics by warped product ⋮ Einstein Finsler metrics and Killing vector fields on Riemannian manifolds ⋮ Yamabe problem for Kropina metrics ⋮ On generalized 4-th root metrics of isotropic scalar curvature ⋮ Sprays of weakly isotropic curvature ⋮ On some Ricci curvature tensors in Finsler geometry ⋮ On strongly Ricci-quadratic Finsler metrics ⋮ On sprays of scalar curvature and metrizability ⋮ Sprays of isotropic curvature ⋮ On some non-Riemannian curvature of Minkowskian product Finsler metrics ⋮ On sprays with vanishing χ-curvature ⋮ A class of Finsler metrics admitting first integrals ⋮ General spherically symmetric Finsler metrics with constant Ricci and flag curvature ⋮ On Sakaguchi-type result in projective spray geometry ⋮ Inverse problem of sprays with scalar curvature ⋮ Homogeneous Einstein Manifolds with Vanishing Curvature ⋮ The characterizations and constructions of sprays of isotropic curvature ⋮ First integrals for Finsler metrics with vanishing \(\chi\)-curvature ⋮ On Homogeneous Randers Metrics