Do manifolds have little symmetry?

Do manifolds have little symmetry?
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流形的对称性很小吗?

DOI:
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发表时间:
2006
期刊:
影响因子:
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通讯作者:
V. Puppe
V. Puppe
中科院分区:
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文献类型:
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作者:
V. Puppe

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摘要:本文综述了F. Raymond和R.舒尔茨:“人们普遍认为,一个流形'随机选择'将有很少的对称性。这个直观的概念可以更精确吗?是否存在一个封闭的单连通流形,没有有限群有效地作用于其上?
Abstract.This note surveys certain aspects (including recent results) of the following problem stated by F. Raymond and R. Schultz: “It is generally felt that a manifold ‘chosen at random’ will have little symmetry. Can this intuitive notion be made more precise? Does there exist a closed simply connected manifold on which no finite group acts effectively?”