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On the non-Riemannian quantity \(\boldsymbol{\Xi}\)-curvature of \((\alpha,\beta)\)-metrics - MaRDI portal

On the non-Riemannian quantity \(\boldsymbol{\Xi}\)-curvature of \((\alpha,\beta)\)-metrics (Q6141370)

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scientific article; zbMATH DE number 7783042
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On the non-Riemannian quantity \(\boldsymbol{\Xi}\)-curvature of \((\alpha,\beta)\)-metrics
scientific article; zbMATH DE number 7783042

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    On the non-Riemannian quantity \(\boldsymbol{\Xi}\)-curvature of \((\alpha,\beta)\)-metrics (English)
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    4 January 2024
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    The authors classify \((\alpha,\beta)\)-metrics with almost isotropic \(\boldsymbol{\Xi}\)-curvature, where the isotropic \(\boldsymbol{\Xi}\)-curvature is a non-Riemannian quantity which characterizes Finsler metrics with constant flag curvature. This is an important class of metrics in the field of Finsler geometry.
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    \((\alpha, \beta)\)-metrics
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    \(\Xi\)-curvature
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