Some remarks on foliatedS1 bundles

Some remarks on foliatedS1 bundles
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DOI:
10.1007/bf01388709
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发表时间:
1987
影响因子:
3.1
通讯作者:
S. Matsumoto
S. Matsumoto
中科院分区:
数学1区
文献类型:
--
作者:
S. Matsumoto

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证明了亏格为C_2的定向闭曲面的基本群到圆的保向同胚群(C_2保向同胚)的每两个同态是相互半共轭的(C_2保向同胚).拓扑共轭),只要它们的欧拉数达到Milnor-Wood不等式所允许的最小值(或最大值)。
Every two homomorphisms from the fundamental group of an oriented closed surface of genus ≧2 into the group of orientation preserving homeomorphisms (resp.C2diffeomorphisms) of the circle are shown to be mutually semi-conjugate (resp. topologically conjugate), provided their Euler numbers attain the minimal value (or the maximal value) allowed by the Milnor-Wood inequality.