On the Teichmüller space of acute triangles

DOI10.1007/S00605-024-02017-2MaRDI QIDQ6631376

Athanase Papadopoulos, Hideki Miyachi, Ken'ichi Ohshika

Publication date: 1 November 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

zbMATH Keywords

geodesicsThurston's asymmetric metricTeichmüller theoryLipschitz metricFinsler structureextreme Lipschitz mapsspace of Euclidean trianglesstretch locus

Mathematics Subject Classification ID

Metric geometry (51F99) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Maximally stretched laminations on geometrically finite hyperbolic manifolds
• A triangular world with hexagonal circles
• From Euclidean triangles to the hyperbolic plane
• Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space
• Thurston’s weak metric on the Teichmüller space of the torus
• Tangent spaces of the Teichmüller space of the torus with Thurston's weak metric
• Generalizing Stretch Lines for Surfaces with Boundary
• Problems on the Thurston metric
• Local rigidity of the Teichmüller space with the Thurston metric
• Thurston's asymmetric metric on the space of singular flat metrics with a fixed quadrangulation
• The geometry of the Thurston metric: a survey
• Thurston's metric on the Teichmüller space of flat tori

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