Cheng–Shen conjecture in Finsler geometry

DOI10.1142/S0129167X20500305zbMath1440.53022OpenAlexW3005360324WikidataQ123095917 ScholiaQ123095917MaRDI QIDQ5113349

Mona Atashafrouz, Behzad Najafi

Publication date: 4 June 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x20500305

zbMATH Keywords

Randers metricgeneralized Douglas-Weyl metric\(W\)-quadratic metric

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)

Cites Work

• Generalized Berwald spaces with \((\alpha, \beta)\)-metrics
• On generalized Douglas-Weyl spaces
• On a subclass of the class of generalized Douglas-Weyl metrics
• A note on a generalized Douglas space
• On generalized Douglas-Weyl \((\alpha, \beta)\)-metrics
• Champ de vecteurs projectifs sur le fibré unitaire. (Projective vector field on unitary fibre bundle)
• Four families of projectively flat Finsler metrics with \(\mathbf{K}=1\) and their non-Riemannian curvature properties
• A new class of projectively flat Finsler metrics with constant flag curvature \(K=1\)
• Homogeneous Finsler Spaces
• Invariant Randers metrics on homogeneous Riemannian manifolds
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• ON RANDERS METRICS OF QUADRATIC RIEMANN CURVATURE
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