The Geometry and Arithmetic of Translation Surfaces with Applications to Polygonal Billiards
The Geometry and Arithmetic of Translation Surfaces with Applications to Polygonal Billiards
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平移曲面的几何和算法及其在多边形台球中的应用
DOI：
10.4310/mrl.1996.v3.n3.a8
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发表时间：
1996
影响因子：
1
通讯作者：
C. Judge
中科院分区：
文献类型：
--
作者：
E. Gutkin;C. Judge
平移流形是一个其过渡变换是平移的流形。平移曲面的几何和算法与多边形台球的动力学有着重要的联系。与自守形式也有显著的关系。在本说明中，我们宣布进一步发展这些联系的结果。
A translation manifold is a manifold whose transition transformations are translations. There is an important connection between the geometry and arithmetic of translation surfaces and dynamics of polygonal billiards. There are also remarkable relations with automorphic forms. In this note we announce results which further develop these connections.