On projectively flat generalized Berwald \((\alpha, \beta)\)-metrics

DOI10.22190/FUMI231123022JMaRDI QIDQ6560133

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Publication date: 21 June 2024

Published in: Facta Universitatis. Series Mathematics and Informatics (Search for Journal in Brave)

zbMATH Keywords

Finsler metricBerwald \((\alpha, \beta)\)-metricisotropic \(\mathrm{S}\)-curvature

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

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• Generalized Berwald spaces with \((\alpha, \beta)\)-metrics
• Conjugate and conformally conjugate parallelisms on Finsler manifolds
• A class of Finsler metrics with isotropic S-curvature
• S-curvature of isotropic Berwald metrics
• Volume comparison and its applications in Riemann-Finsler geometry
• On a special type of generalized Berwald manifolds: semi-symmetric linear connections preserving the Finslerian length of tangent vectors
• 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 \(K=1\)
• The \((\alpha,\beta)\)-metrics of scalar flag curvature
• Differential geometry of spray and Finsler spaces
• Classification of 3-dimensional Landsbergian $(\alpha, \beta)$-metrics
• Characterization of 3-dimensional left-invariant locally projectively flat Randers metrics
• Über die Geometrien, in denen die Geraden die Kürzesten sind.
• On projectively related \((\alpha, \beta)\)-metrics

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