FUNDAMENTAL GROUPS OF POSITIVELY CURVED n-MANIFOLDS WITH SYMMETRY RANK $> \frac{n}{6}$

FUNDAMENTAL GROUPS OF POSITIVELY CURVED n-MANIFOLDS WITH SYMMETRY RANK $> \frac{n}{6}$
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DOI:
10.1142/s0219199708003174
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发表时间:
2008-11
影响因子:
1.6
通讯作者:
Xiaochun Rong;Yusheng Wang
Xiaochun Rong;Yusheng Wang
中科院分区:
数学2区
文献类型:
--
作者:
Xiaochun Rong;Yusheng Wang

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本文对n维正弯曲流形的基本群进行了分类,得到了具有$k>\FRAC{n}{6}$和n≥25的等距环面Tk作用的基本群的一个分类。
In this paper, we obtain a classification for the fundamental groups of positively curved n-manifolds which admit isometric torus Tk-actions with $k > \frac{n}{6}$ and n ≥ 25.