Quantitative quasisymmetric uniformization of compact surfaces

Quantitative quasisymmetric uniformization of compact surfaces
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致密表面的定量准对称均匀化

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
K. Wildrick
K. Wildrick
中科院分区:
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文献类型:
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作者:
Lukas Geyer;K. Wildrick

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Bonk和Kleiner证明了任何Ahlfors2-正则且局部线性可压缩的度规球面在定量上与标准球面是准对称等价的。我们将这一结果推广到任意度量紧可定向曲面。
Bonk and Kleiner showed that any metric sphere which is Ahlfors 2-regular and linearly locally contractible is quasisymmetrically equivalent to the standard sphere in a quantitative way. We extend this result to arbitrary metric compact orientable surfaces.