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Finsler-Lagrange spaces with \((\alpha , \beta )\)-metrics and Ingarden spaces - MaRDI portal

Finsler-Lagrange spaces with \((\alpha , \beta )\)-metrics and Ingarden spaces (Q2456622)

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Finsler-Lagrange spaces with \((\alpha , \beta )\)-metrics and Ingarden spaces
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    Finsler-Lagrange spaces with \((\alpha , \beta )\)-metrics and Ingarden spaces (English)
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    19 October 2007
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    In this paper, the author considers the differential geometry of the so-called Finsler-Lagrange spaces with \((\alpha,\beta)\)-metrics. He proves, that if a Finsler-Lagrange space is endowed with Lorentz nonlinear connection then a most general concept of Ingarden space is obtained. The geometry of this space is developed, especially for the theory of the electromagnetic field.
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    Finsler spaces with \((\alpha
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    \beta )\)-metric
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    Lorentz nonlinear connection
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    Ingarden spaces
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