A characterization of Möbius transformations

DOI10.1090/S0002-9939-99-05203-XzbMath0948.51003OpenAlexW1495770781MaRDI QIDQ4942839

Roland Höfer

Publication date: 15 March 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05203-x

zbMATH Keywords

Möbius transformationsCarathéodory's theoremAlexandrov's theorem

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Möbius geometries (51B10) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (4)

On a rigidity problem of Beardon and Minda ⋮ A four-point criterion for the Möbius property of a homeomorphism of plane domains ⋮ Quasiconformality of the injective mappings transforming spheres to quasispheres ⋮ Mappings preserving the area equality of hyperbolic triangles are motions

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