Nonrelativistic equations of motion as geodesic equations (Q1576113)
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scientific article; zbMATH DE number 1495606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonrelativistic equations of motion as geodesic equations |
scientific article; zbMATH DE number 1495606 |
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Nonrelativistic equations of motion as geodesic equations (English)
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27 February 2002
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It is shown that any second-order dynamical equation on a configuration space X of non relativistic time-independent mechanics can be seen as a geodesic equation with respect to some (non linear) connection on the tangent bundle \( TX \rightarrow X \) of relativistic velocities. Using this fact the relationship between relativistic and non relativistic equations of motion is studied.
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configuration space
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tangent bundle
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manifolds
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soldering form
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holonomic connection
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