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

2015/01/05 by Zhong, Youliang, Liu, Lixin, Su, Weixu
#30F30 #30F60 #32G15 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1501.00858

Abstract

We prove that the length spectrum metric and the arc-length spectrum metric are almost-isometric on the ε₀-relative part of Teichmuller spaces of surfaces with boundary.

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