Polynomial fields of third degree symmetries of geodesic flows on a two-dimensional torus (Q1406375)
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scientific article; zbMATH DE number 1974823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial fields of third degree symmetries of geodesic flows on a two-dimensional torus |
scientific article; zbMATH DE number 1974823 |
Statements
Polynomial fields of third degree symmetries of geodesic flows on a two-dimensional torus (English)
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4 September 2003
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In this paper the author shows that if the geodesic flow on the two-dimensional torus admits a third power symmetry field with respect to the impulses and this field is not Hamiltonian, then in the conformal multiplier logarithm of the metric \[ ds^2 = \frac{M}2 \big(dq_1^2 + dq_2^2\big) \] on \(T^2\) the variables are separated.
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two-dimensional torus
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polynomial symmetry field
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0.825859785079956
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0.7930787801742554
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0.7921041250228882
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