Journal of University of Science and Technology of China ›› 2016, Vol. 46 ›› Issue (12): 976-980.DOI: 10.3969/j.issn.0253-2778.2016.12.002

• Original Paper • Previous Articles    

On integrable non-canonical geodesic flow on two-dimensional torus

ZHANG Hai   

  1. School of Mathematical and Computational Sciences, Anqing Normal University, Anqing 246133, China
  • Received:2015-03-19 Revised:2015-07-05 Accepted:2015-07-05 Online:2015-07-05 Published:2015-07-05
  • About author:ZHANG Hai, male, born in 1982, PhD/lecturer. Research field: Integrable geodesic flows.

Abstract: A non-canonical metric on two-dimensional torus was introduced. It was proved that its geodesic flow is Liouville integrable and has vanishing topological entropy when restricted onto invariant hypersurface.

Key words: geodesic flow, non-canonical metric, topological entropy

CLC Number: