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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1507.05341v2.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
198.95 kB
Formato
Adobe PDF
|
198.95 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
