Unicorn metrics with almost vanishing ${ H}$- and ${ \Xi}$-curvatures

DOI10.3906/MAT-1606-35zbMath1424.53051OpenAlexW2745264656MaRDI QIDQ4633340

Tayebeh Tabatabaeifar, Akbar Tayebi

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1606-35

zbMATH Keywords

unicorn metricalmost vanishing \(\Xi\)-curvaturenon-Riemannian quantity \(\mathbf{H}\)

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 (17)

Unnamed Item ⋮ On conformally flat exponential \((\alpha, \beta)\)-metrics ⋮ On mean Cartan torsion of Finsler metrics ⋮ On a class of almost regular Landsberg metrics ⋮ On a class of stretch metrics in Finsler geometry ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On conformally flat fourth root \((\alpha,\beta)\)-metrics ⋮ Douglas-Square Metrics with Vanishing Mean Stretch Curvature ⋮ The weakly generalized unicorns in Finsler geometry ⋮ On homogeneous isotropic Berwald metrics ⋮ On the C-projective vector fields on Randers spaces ⋮ 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 ⋮ The generalized unicorn problem in the almost regular Douglas \((\alpha,\beta)\)-spaces ⋮ On Homogeneous Randers Metrics

Cites Work

• Generalized Berwald spaces with \((\alpha, \beta)\)-metrics
• On the class of generalized Landsberg manifolds
• On generalized Douglas-Weyl \((\alpha, \beta)\)-metrics
• On the non-Riemannian quantity \(H\) of a Finsler metric
• S-curvature of isotropic Berwald metrics
• A new class of projectively flat Finsler metrics with constant flag curvature \(K=1\)
• Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties
• Douglas--Randers manifolds with vanishing stretch tensor
• On a Class of Landsberg Metrics in Finsler Geometry
• On Some Non-Riemannian Quantities in Finsler Geometry
• Generalized P-reducible (α, β)-metrics with vanishing S-curvature
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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