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Characterization of spheres by stereographic projection

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Publication:689733
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DOI10.1007/BF01198814zbMath0780.52002OpenAlexW2028118581MaRDI QIDQ689733

Peter M. Gruber

Publication date: 17 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198814


zbMATH Keywords

stereographic projectionconvex surfacesangle-preserving mapscharacterization of spheres


Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Geodesy, mapping problems (86A30) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Real and complex geometry (51M99)




Cites Work

  • Convex functions and upper semi-continuous collections
  • Eine kennzeichnende Eigenschaft der Kugel
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