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Magnetic Katok examples on the two-sphere.

Authors :
Benedetti, Gabriele
Source :
Bulletin of the London Mathematical Society; Oct2016, Vol. 48 Issue 5, p855-865, 11p
Publication Year :
2016

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 C<superscript>2</superscript>. Our construction generalizes the examples of integrable Finsler metrics on the two-sphere with only two closed geodesics due to Katok. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
DIFFERENTIAL geometry
GEODESICS
ELLIPSOIDS
FINSLER geometry
SPHERES

Details

Language :
English
ISSN :
00246093
Volume :
48
Issue :
5
Database :
Complementary Index
Journal :
Bulletin of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
118250881
Full Text :
https://doi.org/10.1112/blms/bdw050
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