三角台球曲面间的平移覆盖
Translation Covers Among Triangular Billiard Surfaces
摘要:
我们确定所有的三角形台球表面之间的平移覆盖。我们的主要工具是凯尼恩和Smillie的holonomy领域和几何性质的翻译表面,我们称之为指纹的一个点,这是保存在平衡的翻译覆盖。
英文摘要:
We identify all translation covers among triangular billiard surfaces. Our main tools are the holonomy field of Kenyon and Smillie and a geometric property of translation surfaces, which we call the fingerprint of a point, that is preserved under balanced translation covers.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。