Two-dimensional geodesic flows having first integrals of higher degree |
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| Authors: | Kazuyoshi Kiyohara |
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| Affiliation: | (1) Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, Japan (e-mail: kiyohara@math.sci.hokudai.ac.jp) , JP |
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| Abstract: | We present a family of riemannian metrics on two-sphere having the property that the geodesic flows admit first integrals which are fiberwise homogeneous polynomials of degree greater than 2. They also have the property that all geodesics are closed. Received January 18, 1998 / Published online March 12, 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 53C22 58F05 |
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