On generalized Douglas-Weyl \((\alpha, \beta)\)-metrics

DOI10.1007/s10114-015-3418-2zbMath1327.53026arXiv1510.07990OpenAlexW3105040763MaRDI QIDQ746965

Akbar Tayebi, Hassan Sadeghi

Publication date: 22 October 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07990

zbMATH Keywords

Douglas metricS-curvatureWeyl metricgeneralized Douglas-Weyl 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)

Related Items (35)

On homogeneous weakly stretch Finsler metrics ⋮ On a projective class of Finsler metrics with orthogonal invariance ⋮ Generalized Berwald spaces with \((\alpha, \beta)\)-metrics ⋮ Nonholonomic Frame for a Deformed $(\alpha,\beta )$-metric ⋮ Unnamed Item ⋮ On \(D\)-recurrent Finsler metrics ⋮ Unnamed Item ⋮ S-curvature for a new class of \((\alpha, \beta)\)-metrics ⋮ On L-reducible Finsler manifolds ⋮ Projective flatness of a new class of \((\alpha,\beta)\)-metrics ⋮ On conformally flat exponential \((\alpha, \beta)\)-metrics ⋮ On mean Cartan torsion of Finsler metrics ⋮ On a class of stretch metrics in Finsler geometry ⋮ On \(L\)-reducible spherically symmetric Finsler metrics ⋮ Cheng–Shen conjecture in Finsler geometry ⋮ On Einstein-reversible mth root Finsler metrics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Shen's \(L\)-process on Berwald connection ⋮ Weakly Douglas Finsler metrics ⋮ Unicorn metrics with almost vanishing ${ H}$- and ${ \Xi}$-curvatures ⋮ On conformally flat fourth root \((\alpha,\beta)\)-metrics ⋮ The weakly generalized unicorns in Finsler geometry ⋮ On homogeneous isotropic Berwald metrics ⋮ A class of Finsler metrics with quadratic curvatures ⋮ A class of Finsler metrics with almost vanishing \(H\)- and \(\Xi\)-curvatures ⋮ Four families of projectively flat Finsler metrics with \(\mathbf{K}=1\) and their non-Riemannian curvature properties ⋮ Characterization of weakly Berwald fourth-root metrics ⋮ Weighted projective Ricci curvature in Finsler geometry ⋮ The generalized unicorn problem in the almost regular Douglas \((\alpha,\beta)\)-spaces ⋮ On isotropic projective Ricci curvature of C-reducible Finsler metrics ⋮ On homogeneous Finsler manifolds with some curvature properties ⋮ On generalized Douglas-Weyl Randers metrics

Cites Work

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• On generalized Douglas-Weyl spaces
• On \((\alpha , \beta )\)-metrics of scalar flag curvature with constant S-curvature
• A note on a generalized Douglas space
• On Randers metrics with isotropic \(S\)-curvature
• A class of Finsler metrics with isotropic S-curvature
• S-curvature of isotropic Berwald metrics
• Volume comparison and its applications in Riemann-Finsler geometry
• Finsler manifolds with nonpositive flag curvature and constant S-curvature
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric
• Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties
• On a Class of Landsberg Metrics in Finsler Geometry

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