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Alexandrov-embedded closed magnetic geodesics on S2

Published online by Cambridge University Press:  13 June 2011

MATTHIAS SCHNEIDER
MATTHIAS SCHNEIDER*
Affiliation:
Ruprecht-Karls-Universität, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany (email: [email protected])
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Abstract

We prove the existence of two Alexandrov-embedded closed magnetic geodesics on any two-dimensional sphere with non-negative Gauß curvature.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 4 , August 2012 , pp. 1471 - 1480
Copyright
Copyright © Cambridge University Press 2011

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