A geometric proof of Bieberbach's theorems on crystallographic groups

zbMath0582.20033MaRDI QIDQ1068943

Peter Buser

Publication date: 1985

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

translationsdiscrete group of isometriescompact fundamental domainn-dimensional crystallographic groups

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (7)

Burckhardtian determination of the space groups. I. ⋮ Infinitely many solutions to the Yamabe problem on noncompact manifolds ⋮ Teichmüller theory and collapse of flat manifolds ⋮ Margulis multiverse: Infinitesimal rigidity, pressure form and convexity ⋮ Bernhard Riemann 1861 revisited: existence of flat coordinates for an arbitrary bilinear form ⋮ Crystallographic actions on Lie groups and post-Lie algebra structures ⋮ Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)

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