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Linear combinations of convex hypersurfaces in non-Euclidean geometry

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Publication:664198
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DOI10.1007/s13366-011-0080-4zbMath1242.52013OpenAlexW1979419343MaRDI QIDQ664198

Kurt Leichtweiß\

Publication date: 29 February 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0080-4


zbMATH Keywords

distance convex bodies in hyperbolic spacelinear combination of convex bodiesquasi support functions in spherical spaceradial map of the spherical modelradial map of the Weierstrass model


Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55)


Related Items (1)

Linear combinations of hypersurfaces in hyperbolic space



Cites Work

  • Unnamed Item
  • Polar curves in the non-Euclidean geometry
  • On algebraic structures related to Beltrami-Klein model of hyperbolic geometry
  • Konvexität in riemannschen Mannigfaltigkeiten
  • Asymptotic behaviour of \(\lambda\)-convex sets in the hyperbolic plane
  • Support function and hyperbolic plane
  • Linear combinations of hypersurfaces in hyperbolic space
  • Curves of constant width in the non-Euclidean geometry


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