Quadratically integrable geodesic flows on the torus and on the Klein bottle
نویسنده
چکیده
1. If the geodesic flow of a metric G on the torus T 2 is quadratically integrable then the torus T 2 isometrically covers a torus with a Liouville metric on it. 2. The set of quadratically integrable geodesic flows on the Klein bottle is described. §
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