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