Möbius-Lie geometry and its extension

DOI10.7546/giq-20-2019-13-61zbMath1415.51003arXiv1811.10499OpenAlexW3105840670WikidataQ61821149 ScholiaQ61821149MaRDI QIDQ2418900

G.V.P.Khmelevskaya

Publication date: 29 May 2019

Full work available at URL: https://arxiv.org/abs/1811.10499

zbMATH Keywords

Clifford algebraintegrable systemcontinued fractionloxodromeindefinite inner product spacefraction-linear transformationMöbius-Lie geometryPoincaré extension spheres geometry

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Continued fractions; complex-analytic aspects (30B70) Euclidean geometries (general) and generalizations (51M05) Möbius geometries (51B10) Quadratic spaces; Clifford algebras (11E88) Lie geometries in nonlinear incidence geometry (51B25) Analytic geometry with other transformation groups (51N25)

Related Items (4)

Cycles cross ratio: an invitation ⋮ Conformal Parametrisation of Loxodromes by Triples of Circles ⋮ Lie sphere geometry in nuclear scattering processes ⋮ Cayley map for symplectic groups

Uses Software

• GiNaC
• Python
• MoebInv

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