Titlebook: Non-Euclidean Laguerre Geometry and Incircular Nets; Alexander I. Bobenko,Carl O.R. Lutz,Jan Techter Book 2021 The Editor(s) (if applicabl

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Aprope

Non-Euclidean Laguerre Geometry,The primary objects in . are points on ., which yield a double cover of the points in hyperbolic/elliptic space, and spheres, which yield a double cover of the spheres in hyperbolic/elliptic space. The primary incidence between these objects is ..

辩论的终结

Lie Geometry,Möbius geometry (signature ., see Sect. .), hyperbolic Laguerre geometry (signature (., 2), see Sect. .), elliptic Laguerre geometry (signature ., see Sect. .), as well as Euclidean Laguerre geometry (signature (., 1, 1), see Sect. A.4) can all be lifted to . (signature .) using the methods from Chaps. . and ..

patella

Two-Dimensional Laguerre Geometry,egins in Chap. .. We first introduce the most basic concepts of these geometries in the Euclidean plane and then turn to the elliptic and hyperbolic plane. The intention here is to enable the reader to quickly get a glimpse of these geometries without diving into the details.

Oafishness

Cayley-Klein Spaces,eSitter, and elliptic space can be obtained by using a quadric to induce the corresponding metric [Kle1928]. In this section we introduce the corresponding general notion of . and their groups of ., see, e.g., [Kle1928, Bla1954, Gie1982]. We put a particular emphasis on the description of hyperplanes, hyperspheres, and their mutual relations.

惰性气体

978-3-030-81846-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

Palpitation

Non-Euclidean Laguerre Geometry and Incircular Nets978-3-030-81847-0Series ISSN 2191-8198 Series E-ISSN 2191-8201

endure

雪白

https://doi.org/10.1007/978-3-030-81847-0Laguerre geometry; Möbius geometry; Lie geometry; projective geometry; spherical geometry; hyperbolic geo

Urea508

Alexander I. Bobenko,Carl O.R. Lutz,Jan TechterThe first systematic introduction to non-Euclidean Laguerre geometry in the literature.Demonstrates all features of Laguerre geometry in terms of one recent application: checkerboard incircular nets.B