On the properties of sphere-preserving maps

DOI10.1016/J.JMAA.2014.04.070zbMath1298.30022OpenAlexW1969685103MaRDI QIDQ2252295

Shihai Yang

Publication date: 17 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.070

zbMATH Keywords

Möbius transformationscross-ratiosphere-preserving maps

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (2)

On a rigidity problem of Beardon and Minda ⋮ Geometric characterizations of symmetric maps in the complex plane

Cites Work

• A characterization of Möbius transformations by use of hyperbolic regular polygons
• A new characterization for isometries by triangles
• Quasimöbius maps
• A new characteristic of Möbius transformations by use of Apollonius points of triangles
• A new characteristic of Möbius transformations in hyperbolic geometry
• Sphere-preserving maps in inversive geometry
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