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

Abstract

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.

31 pages, 10 figures

References in corpus (1)

• On length spectrum metrics and weak metrics on Teichmueller spaces of surfaces with boundary