Minimal sets for flows on moduli space

被引：45

作者：

Smillie, J

Weiss, B

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2004年 / 142卷 / 1期

关键词：

D O I：

10.1007/BF02771535

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S be a compact orientable surface, let Q be the moduli space of quadratic differentials on S and let M be a stratum in Q. We explicitly describe the minimal sets for the (Teichmuller) horocycle flow on AA and on Q, and show that these correspond to horizontal cylindrical decompositions of S.

引用

页码：249 / 260

页数：12

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