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

Lixin Liu; Weixu Su; Youliang Zhong

arxiv: 1501.00858 · v1 · pith:5UFKLY5Anew · submitted 2015-01-05 · 🧮 math.GT

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

Youliang Zhong , Lixin Liu , Weixu Su This is my paper

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keywords boundarylengthmetricspacesspectrumsurfacesteichmulleralmost-isometric

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We prove that the length spectrum metric and the arc-length spectrum metric are almost-isometric on the $\epsilon_0$-relative part of Teichmuller spaces of surfaces with boundary.

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

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