Magnetic Katok examples on the two-sphere

Research output: Contribution to JournalArticleAcademicpeer-review


© 2016 London Mathematical Society.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.
Original languageEnglish
Pages (from-to)855-865
JournalBulletin of the London Mathematical Society
Issue number5
Publication statusPublished - 1 Oct 2016
Externally publishedYes


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