On equivalence of simple closed curves in flat surfaces

DOI10.1007/S10114-014-3745-8zbMath1317.30062OpenAlexW2108686698WikidataQ125913464 ScholiaQ125913464MaRDI QIDQ477867

Zong Liang Sun

Publication date: 10 December 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3745-8

zbMATH Keywords

hyperbolic metricssimple closed curvesclosed surfaces of genus \(g>1\)

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) General geometric structures on low-dimensional manifolds (57M50)

Cites Work

• Length spectra and degeneration of flat metrics
• On the existence of certain general extremal metrics
• The asymptotic geometry of Teichmüller space
• The real analytic theory of Teichmüller space
• Equivalent curves in surfaces
• Jenkins-Strebel differentials with poles
• Comparison of hyperbolic and extremal lengths
• The Length Spectrum of a Riemann Surface is Always of Unbounded Multiplicity
• ON THE EXISTENCE OF JENKINS–STREBEL DIFFERENTIALS
• Characters of free groups represented in the two‐dimensional special linear group
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