(1) Institute of Mathematics, Polish Academy of Sciences, ul. Sniadeckich 8, 00-956 Warszawa, Poland;(2) Department of Mathematics and Informatics, University of Warmia and Mazury, ul. Zolnierska 14, 10-561 Olsztyn, Poland
Abstract:
We establish that Gaussian thermostats are geodesic flows of special metric connections. We give sufficient conditions for hyperbolicity of geodesic flows of metric connections in terms of their curvature and torsion. Reproduction of the entire article for non-commercial purposes is permitted without charge.