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Inversion with respect to a hypercycle of a hyperbolic plane of positive curvature

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Publication:265621
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DOI10.1007/s00022-015-0280-4zbMath1336.51005OpenAlexW2271384145MaRDI QIDQ265621

Lyudmila N. Romakina

Publication date: 4 April 2016

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0280-4

zbMATH Keywords

horizon of the hypercyclehyperbolic plane \(\widehat{H}\) of positive curvaturehypercycleinversion with respect to a hypercycle of the hyperbolic plane \(\widehat{H}\) of positive curvature


Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Absolute planes in metric geometry (51F05)


Related Items

Unnamed Item, On equidistant lines of given line configurations, Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane



Cites Work

  • The chord length of a hypercycle in a hyperbolic plane of positive curvature
  • Malfatti’s problem on the hyperbolic plane
  • Inversion auf der Idealebene der Bachmannschen Metrischen Ebene
  • Simple partitions of a hyperbolic plane of positive curvature
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
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