Quadratically integrable geodesic flows on the torus and on the Klein bottle

V. S. Matveev

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arXiv · solv-int/9712019

Quadratically integrable geodesic flows on the torus and on the Klein bottle

V. S. Matveev

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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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BibTeX RIS

V. S. Matveev. 1997-12-23. Quadratically integrable geodesic flows on the torus and on the Klein bottle. https://arxiv.org/abs/solv-int/9712019

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