An example of a geodesic flow on a Klein bottle that is integrable by a polynomial of degree four in momenta (Q1275988)
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scientific article; zbMATH DE number 1240158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of a geodesic flow on a Klein bottle that is integrable by a polynomial of degree four in momenta |
scientific article; zbMATH DE number 1240158 |
Statements
An example of a geodesic flow on a Klein bottle that is integrable by a polynomial of degree four in momenta (English)
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14 January 1999
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Let \(M^2\) be a Riemann surface. The Hamiltonian system on the tangential stratification \(T^*M^2\) with the Hamiltonian equal to the vector-impulse square is called geodesic flow on \(M^2\). The author constructs a family of metrics on the Klein bottle whose geodesic flows are integrable polynomially to the fourth degree.
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Hamiltonian system
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integrability
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geodesic flow on \(M^2\)
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0.9067767858505248
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0.8113909959793091
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