抄録
In this paper, we show that a surface group action on s1 with a non-zero Euler number has a positive topological entropy. We also show that if a surface group action on Sl has a Euler number which attains the maximal absolute value in the inequality of Milnor-Wood, then the topological entropy of the action equals the exponential growth rate of the group.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 245-249 |
| ページ数 | 5 |
| ジャーナル | Proceedings of the American Mathematical Society |
| 巻 | 106 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 1989 5月 |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学