Auto-parallel equation as Euler-Lagrange's equation over spaces with affine connections and metrics (Q5931059)
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scientific article; zbMATH DE number 1592813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Auto-parallel equation as Euler-Lagrange's equation over spaces with affine connections and metrics |
scientific article; zbMATH DE number 1592813 |
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Auto-parallel equation as Euler-Lagrange's equation over spaces with affine connections and metrics (English)
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2 May 2001
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Auto-parallel equation over \(\overline {L}_{n;g}\)-spaces equipped with affine connection and metrics -- are considered via Lagrangian formalism. Due to presence of torsion and non-conservation of the metric, the equation of auto-parallels has a more complicated structure than the standard geodesic equation. For the variational principle the author uses the method of Lagrangians with covariant derivatives. He writes down the action and Euler-Lagrange equations for field variables.
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auto-parallels
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affine connections
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torsion
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geodesics
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