scientific article; zbMATH DE number 3796715
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Publication:4741924
zbMath0505.51018MaRDI QIDQ4741924
Publication date: 1982
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
conjugacy classescross ratiospherical n-spacehyperbolic n-spaceinverse geometrycomplex coordinatecoordinates and invariantsformulae for families of spheresgroup of Moebius transformations generated by inversionsinverse models of the classical geometries
Euclidean geometries (general) and generalizations (51M05) Research exposition (monographs, survey articles) pertaining to geometry (51-02)
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Seul le groupe des similitudes-inversions préserve le type de la loi de Cauchy-conforme de \({\mathbb{R}}^ n\) pour \(n>1\). (Only the group of similitude-inversions preserves the Cauchy-conformal type distributions of \({\mathbb{R}}^ n\) for \(n>1)\) ⋮ Apollonian circle packings: Number theory ⋮ Generalization of Steiner's porism via Poncelet's theorem ⋮ The three harmonic homologies theorem ⋮ Inversive geometry and the hexlet ⋮ The Apollonian octets and an inverse form of Krause's theorem ⋮ The quaternion formalism for Möbius groups in four or fewer dimensions ⋮ Flocks in \(\mathrm{PG}(3,q)\) ⋮ Polytopes related to the Picard group ⋮ Topologically equivalent \(n\)-dimensional isometries
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