论文标题
凸射线表面上测量流的西奈 - 荷尔孔测量熵
Sinai-Ruelle-Bowen measure Entropy of geodesic flow on Convex Projective Surfaces
论文作者
论文摘要
我们研究了凸真射射线表面上的西奈劳动 - 鲍恩量测量的熵,并表明,如果熵趋向于零,则希尔伯特地区往往无穷大。对于Blaschke度量,仅当熵趋于零时,该区域倾向于无穷大。
We study the entropy of Sinai-Ruelle-Bowen measure of the geodesic flow on convex real projective surfaces, and shows that the Hilbert area tends to infinity if the entropy tends to zero. For the Blaschke metric, the area tends to infinity if and only if the entropy tends to zero.