Universität zu Köln

Asselle, Luca and Lange, Christian (2020). On the rigidity of Zoll magnetic systems on surfaces. Nonlinearity, 33 (7). S. 3173 - 3195. BRISTOL: IOP PUBLISHING LTD. ISSN 1361-6544

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Abstract

In this paper we study rigidity aspects of Zoll magnetic systems on closed surfaces. We characterize magnetic systems on surfaces of positive genus given by constant curvature metrics and constant magnetic functions as the only magnetic systems such that the associated Hamiltonian flow is Zoll, i.e. every orbit is closed, on every energy level below the Mane critical value. We also prove the persistence of possibly degenerate closed geodesics under magnetic perturbations in different instances.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Asselle, Luca UNSPECIFIED UNSPECIFIED UNSPECIFIED Lange, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-328352
DOI:	10.1088/1361-6544/ab839c
Journal or Publication Title:	Nonlinearity
Volume:	33
Number:	7
Page Range:	S. 3173 - 3195
Date:	2020
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1361-6544
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language INTEGRABLE GEODESIC-FLOWS; QUASI-LINEAR SYSTEM; CHARGED-PARTICLE; EXAMPLES; 2-TORUS; ORBITS Multiple languages Mathematics, Applied; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/32835