We consider a class of flows which includes both magnetic flows and Gaussian thermostats of external fields. We give sufficient conditions for such flows on manifolds of negative sectional curvature to be Anosov.
@article{bwmeta1.element.bwnjournal-article-fmv163i2p177bwm,
author = {Maciej Wojtkowski},
title = {Magnetic flows and Gaussian thermostats on manifolds of negative curvature},
journal = {Fundamenta Mathematicae},
volume = {163},
year = {2000},
pages = {177-191},
zbl = {0997.37011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv163i2p177bwm}
}
Wojtkowski, Maciej. Magnetic flows and Gaussian thermostats on manifolds of negative curvature. Fundamenta Mathematicae, Tome 163 (2000) pp. 177-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv163i2p177bwm/
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