Marked-length-spectral rigidity for flat metrics

DOI10.1090/tran/7005zbMath1395.57020arXiv1504.01159OpenAlexW2963024681MaRDI QIDQ4600433

Anja Bankovic, Christopher J. Leininger

Publication date: 9 January 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01159

zbMATH Keywords

rigiditylength spectrumgeodesic currentLiouville current

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

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Cites Work

• Unnamed Item
• 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
• Geodesics with bounded intersection number on surfaces are sparsely distributed
• The geometry of Teichmüller space via geodesic currents
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Hausdorff dimension of sets of nonergodic measured foliations
• The marked length-spectrum of a surface of nonpositive curvature
• Geodesic flows
• On the rigidity of discrete isometry groups of negatively curved spaces
• Rigidity of flat surfaces under the boundary measure
• Marked length spectrum rigidity in nonpositive curvature with singularities
• Hyperbolic Structures on Surfaces and Geodesic Currents

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