Mechanical systems of Ingarden type (Q2866250)
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scientific article; zbMATH DE number 6238100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mechanical systems of Ingarden type |
scientific article; zbMATH DE number 6238100 |
Statements
13 December 2013
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Finsler space
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Randers space
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Ingarden space
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Ingarden mechanical system
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Mechanical systems of Ingarden type (English)
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Assume that \((M,\alpha+\beta)\) is a Randers space and let \(N^L\) its Lorentz nonlinear connection. An Ingarden mechanical system is a pair \(\Sigma_{IF}=\left(IF^n,F_e\right)\), where \(IF^n=(M,\alpha+\beta,N^L)\) and \(F_e\) is an external force related by some evolution equations of Lagrange type. For \(\Sigma_{IF}\), in the paper under review, the author determines the canonical semispray, the fundamental equations, the canonical nonlinear connection and the metrical linear connection.
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