Teichmüller geodesics with \(d\)-dimensional limit sets

DOI10.3934/jmd.2018010zbMath1464.32016arXiv1608.07945OpenAlexW2890304145MaRDI QIDQ2026742

Kasra Rafi, Anna Lenzhen, Babak Modami

Publication date: 20 May 2021

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07945

zbMATH Keywords

quadratic differentialsTeichmüller geodesicsnonuniquely ergodic measured foliationsThurston boundary of Teichmüller space

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50)

Related Items (4)

A divergent horocycle in the horofunction compactification of the Teichmüller metric ⋮ Stars at infinity for boundaries of Teichmüller space ⋮ Limit sets of Weil–Petersson geodesics with nonminimal ending laminations ⋮ Exotic limit sets of Teichmüller geodesics in the HHS boundary

Cites Work

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• Bounded combinatorics and the Lipschitz metric on Teichmüller space
• Hyperbolicity in Teichmüller space
• Quadratic differentials and foliations
• Lines of minima and Teichmüller geodesics
• The geometry of Teichmüller space via geodesic currents
• The asymptotic geometry of Teichmüller space
• The length spectra as moduli for compact Riemann surfaces
• Harmonic maps, length, and energy in Teichmüller space
• Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation
• Geometry of the complex of curves. I: Hyperbolicity
• Two boundaries of Teichmüller space
• A combinatorial model for the Teichmüller metric
• Thick-thin decomposition for quadratic differentials
• Teichmüller geodesics that do not have a limit in \(\mathcal PMF\)
• Comparison of hyperbolic and extremal lengths
• Limit sets of Weil–Petersson geodesics with nonminimal ending laminations
• Geometry and spectra of compact Riemann surfaces

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