On metrics defined by length spectra on Teichmüller spaces of surfaces with boundary

On metrics defined by length spectra on Teichmüller spaces of surfaces with boundary
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DOI:
10.5186/aasfm.2015.4038
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发表时间:
2015-01
期刊:
Annales Academiae Scientiarum Fennicae Mathematica
影响因子:
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通讯作者:
Y. Zhong;Li-Xing Liu;W. Su
Y. Zhong;Li-Xing Liu;W. Su
中科院分区:
其他
文献类型:
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作者:
Y. Zhong;Li-Xing Liu;W. Su

文献摘要

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证明了在带边界曲面的Teichmuller空间的相对部分上,长度谱度量和弧长谱度量是几乎等距的。
We prove that the length spectrum metric and the arc-length spectrum metric are almost-isometric on the ǫ0-relative part of Teichmuller spaces of surfaces with boundary.