Non-Euclidean Laguerre Geometry and Incircular Nets

DOI10.1007/978-3-030-81847-0zbMath1492.51001arXiv2009.00978OpenAlexW3081947957MaRDI QIDQ4957804

Carl O. R. Lutz, Jan Techter, Helmut Pottmann, Alexander Ivanovich Bobenko

Publication date: 9 September 2021

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00978

zbMATH Keywords

Jacobi elliptic functionMöbius geometryLie quadricCayley-Klein spaceincircular netcheckerboard incircular netelliptic Laguerre geometryhyperbolic Laguerre geometryhypercycle base curve

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01) Lie geometries in nonlinear incidence geometry (51B25) Laguerre geometries (51B15)

Related Items (4)

Nets of lines with the combinatorics of the square grid and with touching inscribed conics ⋮ Constrained elastic curves and surfaces with spherical curvature lines ⋮ The three harmonic homologies theorem ⋮ Canonical tessellations of decorated hyperbolic surfaces

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