dorsal/arxiv
View SchemaQuadratically integrable geodesic flows on the torus and on the Klein bottle
| Authors | V. S. Matveev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9712019 |
| URL | https://arxiv.org/abs/solv-int/9712019 |
| Journal | Regular and Chaotic Dynamics, vol 2 no 1 (1997), 96-103 |
Abstract
In the present paper we prove, that if the geodesic flow of a metric G on the torus T is quadratically integrable, then the torus T isometrically covers a torus with a Liouville metric on it, and describe the set of quadratically integrable geodesic flows on the Klein bottle.
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"abstract": "In the present paper we prove, that if the geodesic flow of a metric G on the\ntorus T is quadratically integrable, then the torus T isometrically covers a\ntorus with a Liouville metric on it, and describe the set of quadratically\nintegrable geodesic flows on the Klein bottle.",
"arxiv_id": "solv-int/9712019",
"authors": [
"V. S. Matveev"
],
"categories": [
"solv-int",
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"journal_ref": "Regular and Chaotic Dynamics, vol 2 no 1 (1997), 96-103",
"title": "Quadratically integrable geodesic flows on the torus and on the Klein bottle",
"url": "https://arxiv.org/abs/solv-int/9712019"
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