A class of Finsler metrics with quadratic curvatures

DOI10.1007/S41980-019-00240-4zbMath1439.53023OpenAlexW2947953836WikidataQ125649639 ScholiaQ125649639MaRDI QIDQ2287019

Mehran Gabrani, Bahman Rezaei

Publication date: 23 January 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00240-4

zbMATH Keywords

\(W\)-quadraticspherically symmetric Finsler metric\(R\)-quadraticRicci-quadratic

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 (6)

On spherically symmetric Finsler metrics with some non-Riemannian curvature properties ⋮ On a class of Finsler metrics of scalar flag curvature defined by the Euclidean metric and related 1-forms ⋮ On projective invariants of general spherically symmetric Finsler spaces in \(\mathbb{R}^n\) ⋮ The general spherically symmetric Finsler metrics with isotropic \(E\)-curvature ⋮ Some curvature properties of spherically symmetric Finsler metrics ⋮ General spherically symmetric Finsler metrics with constant Ricci and flag curvature

Cites Work

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• On generalized Douglas-Weyl spaces
• On spherically symmetric Finsler metrics of scalar curvature
• A new quantity in Finsler geometry
• On generalized Douglas-Weyl \((\alpha, \beta)\)-metrics
• On \(R\)-quadratic Finsler metrics
• Matsumoto Metrics of Reversible Curvature
• Examples of Finsler metrics with special curvature properties
• ON RANDERS METRICS OF QUADRATIC RIEMANN CURVATURE
• Projectively flat Finsler metrics with orthogonal invariance
• RANDERS METRICS OF REVERSIBLE CURVATURE
• On a Class of Locally Dually Flat (α,β)–Metrics
• Spherically symmetric Finsler metrics in $R^n$

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