The normal sub-Riemannian geodesic flow on E(2) generated by a left-invariant metric and a right-invariant distribution (Q486374)
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scientific article; zbMATH DE number 6386972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The normal sub-Riemannian geodesic flow on E(2) generated by a left-invariant metric and a right-invariant distribution |
scientific article; zbMATH DE number 6386972 |
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The normal sub-Riemannian geodesic flow on E(2) generated by a left-invariant metric and a right-invariant distribution (English)
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15 January 2015
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The main result in this paper is Theorem 1, where a description of normal geodesics in the three-dimensional Lie group \(E(2)\), endowed with a left-invariant metric and a right-invariant distribution, is given in terms of elliptic functions.
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sub-Riemannian geometry
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left-invariant metric
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right-invariant distribution
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Hamiltonian
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normal geodesics
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elliptic functions
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