We show that there exist non-exact magnetic flows on the two-sphere having an energy level whose double cover is strictly contactomorphic to an irrational ellipsoid in C2. Our construction generalizes the examples of integrable Finsler metrics on the two-sphere with only two closed geodesics due to Katok.
Magnetic Katok examples on the two-sphere / Benedetti, G.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 48:5(2016), pp. 855-865. [10.1112/blms/bdw050]
Magnetic Katok examples on the two-sphere
Benedetti G.
2016-01-01
Abstract
We show that there exist non-exact magnetic flows on the two-sphere having an energy level whose double cover is strictly contactomorphic to an irrational ellipsoid in C2. Our construction generalizes the examples of integrable Finsler metrics on the two-sphere with only two closed geodesics due to Katok.File in questo prodotto:
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