Length spectra of flat metrics coming from \(q\)-differentials

DOI10.4171/GGD/578zbMath1477.53071arXiv1810.01793OpenAlexW3097892604MaRDI QIDQ2035053

Marissa Loving

Publication date: 23 June 2021

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01793

zbMATH Keywords

closed curvesflat metricslength spectra\(q\)-differentialsnon-positively curved Euclidean cone metrics

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geodesics in global differential geometry (53C22) General geometric structures on low-dimensional manifolds (57M50)

Related Items (1)

Cylinder curves in finite holonomy flat metrics

Cites Work

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• Horowitz-Randol pairs of curves in \(q\)-differential metrics
• Length spectra and degeneration of flat metrics
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Rigidity for surfaces of non-positive curvature
• The geometry of Teichmüller space via geodesic currents
• The marked length-spectrum of a surface of nonpositive curvature
• On the rigidity of discrete isometry groups of negatively curved spaces
• Marked-length-spectral rigidity for flat metrics
• A remark on the word length in surface groups

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