Periodic magnetic geodesics on Heisenberg manifolds-Reference-Cited by-同舟云学术

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Periodic magnetic geodesics on Heisenberg manifolds

Published:2021-07-19 Issue:3 Volume:60 Page:647-685
ISSN:0232-704X
Container-title:Annals of Global Analysis and Geometry
language:en
Short-container-title:Ann Glob Anal Geom

Author:

Epstein Jonathan^ORCID,Gornet Ruth,Mast Maura B.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10455-021-09787-0.pdf

Reference33 articles.

1. Abbondandolo, A., Macarini, L., Mazzucchelli, M., Paternain, G.P.: Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. J. Eur. Math. Soc. (JEMS) 19(2), 551–579 (2017). https://doi.org/10.4171/JEMS/674

2. Lecture Notes in Mathematics;PH Bérard,1986

3. Lecture Notes in Mathematics;M Berger,1971

4. Burns, K., Matveev, V.S.: On the rigidity of magnetic systems with the same magnetic geodesics. Proc. Amer. Math. Soc. 134(2), 427–434 (2006). https://doi.org/10.1090/S0002-9939-05-08196-7

5. Burns, K., Paternain, G.P.: Anosov magnetic flows, critical values and topological entropy. Nonlinearity 15(2), 281–314 (2002). https://doi.org/10.1088/0951-7715/15/2/305

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Magnetic Trajectories on 2-Step Nilmanifolds;The Journal of Geometric Analysis;2023-04-07

2. Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil₃;International Journal of Geometric Methods in Modern Physics;2023-01-26

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