Zoll magnetic systems on the two-torus: A Nash–Moser construction

We construct an infinite-dimensional family of smooth integrable magnetic systems on the two-torus which are Zoll, meaning that all the unit-speed magnetic geodesics are periodic. The metric and the magnetic field of such systems are arbitrarily close to the flat metric and to a given constant magne...

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Bibliographic Details

Published in:	Advances in mathematics (New York. 1965) Vol. 452; p. 109826
Main Authors:	Asselle, Luca, Benedetti, Gabriele, Berti, Massimiliano
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.08.2024
Subjects:	Bessel functions Fourier integral operators Hamiltonian systems Magnetic geodesics Nash–Moser implicit function theorem Zoll flows Hamiltonian systems Magnetic geodesics Nash–Moser implicit function theorem Zoll flows Fourier integral operators Bessel functions
ISSN:	0001-8708, 1090-2082
Online Access:	Get full text
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