The length spectrum of holomorphic quadratic differential metrics

2021/11/20 by Shi, Jiajun
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2111.10585

Abstract

In this paper we prove that on a closed oriented surface, flat metrics determined by holomorphic quadratic differentials can be distinguished from other flat cone metrics by the length spectrum.

Related

• Length spectra of flat metrics coming from q-differentials
• Marked length spectral rigidity for flat metrics
• A uniform Poincaré estimate for quadratic differentials on closed surfaces
• Quantitative marked length spectrum rigidity for surfaces
• On metrics defined by length spectra on Teichmuller spaces of surfaces with boundary