Magnetic Katok examples on the two-sphere

G. Benedetti

doi:10.1112/blms/bdw050

Magnetic Katok examples on the two-sphere

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Abstract

© 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 language	English
Pages (from-to)	855-865
Journal	Bulletin of the London Mathematical Society
Volume	48
Issue number	5
DOIs	https://doi.org/10.1112/blms/bdw050
Publication status	Published - 1 Oct 2016
Externally published	Yes

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title = "Magnetic Katok examples on the two-sphere",

abstract = "{\textcopyright} 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.",

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AB - © 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.

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DO - 10.1112/blms/bdw050

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SP - 855

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

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Magnetic Katok examples on the two-sphere

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