On Matsumoto change of m-th root finsler metrics

DOI10.2298/PIM1715183TzbMath1499.53112OpenAlexW2619033483MaRDI QIDQ5031073

Mohammad Shahbazi Nia, Akbar Tayebi

Publication date: 18 February 2022

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/pim1715183t

zbMATH Keywords

locally dually flat metric\(m\)-th root metricprojectively flat metricMatsumoto change

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) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Unnamed Item ⋮ On conformally flat fourth root \((\alpha,\beta)\)-metrics ⋮ On conformally flat cubic \((\alpha,\beta)\)-metrics ⋮ On the theory of 4-th root Finsler metrics ⋮ On generalized Kropina change of generalized \(m\)-th root Finsler metrics

Cites Work

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• On generalized \(m\)-th root Finsler metrics
• On \(m\)-th root metrics with special curvature properties
• On invariant tensors of \(\beta\)-changes of Finsler metrics
• Randers change of \({m^{\mathrm{th}}}\) root metric
• Some curvature properties of Cartan spaces with \(m\)th root metrics
• On Kropina change for \(m\)th root Finsler metrics
• A new class of projectively flat Finsler metrics with constant flag curvature \(K=1\)
• Riemann-Finsler geometry with applications to information geometry

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