On characterizations of sphere-preserving maps

DOI10.1017/S0305004109002291zbMath1178.51014OpenAlexW2010889022MaRDI QIDQ3183166

BaoKui Li, Guowu Yao

Publication date: 19 October 2009

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

Full work available at URL: https://doi.org/10.1017/s0305004109002291

zbMATH Keywords

isometryMöbius transformationaffine transformationsphere-preserving map

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Euclidean geometries (general) and generalizations (51M05)

Related Items (7)

On a rigidity problem of Beardon and Minda ⋮ Isometries in hyperbolic spaces ⋮ Quasiconformality of the injective mappings transforming spheres to quasispheres ⋮ The pseudo-affine transformations in \(\mathbb R^{2}\) ⋮ Mappings preserving the area equality of hyperbolic triangles are motions ⋮ Fundamental theorem of geometry without the surjective assumption ⋮ Fundamental theorem of hyperbolic geometry without the injectivity assumption

Cites Work

• On existence of degenerate circle-preserving maps
• Lost Theorems of Geometry
• Sphere-preserving maps in inversive geometry
• Fundamental theorem of geometry without the 1-to-1 assumption
• On the characterization of plane projective and complex MOEBIUS‐transformations

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