A rigidity result for holomorphic quadratic differentials of finite norm in the unit disk

DOI10.1112/blms.12936OpenAlexW4387375524MaRDI QIDQ6148058

Qiang Gao

Publication date: 1 February 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms.12936

zbMATH Keywords

geodesic preserving mapsquadratic differential on the unit disk

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Differentials on Riemann surfaces (30F30)

Cites Work

• A geodesic-preserving map of a Euclidean cone disk is affine
• Isometries in hyperbolic spaces
• Lost Theorems of Geometry
• Sphere-preserving maps in inversive geometry
• Fundamental theorem of geometry without the surjective assumption
• Circle-Preserving Functions of Spheres
• Fundamental theorem of geometry without the 1-to-1 assumption
• Bi-geodesic mappings between pairs of pants
• Totally geodesic homeomorphisms between Teichmüller spaces
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