Higher dimensional Möbius bands and their boundaries

DOI10.1007/s00229-018-1040-1zbMath1423.53039arXiv1710.02753OpenAlexW2963124013WikidataQ62581183 ScholiaQ62581183MaRDI QIDQ2313938

Jacques Lafontaine, Chady El Mir

Publication date: 24 July 2019

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02753

zbMATH Keywords

Möbius bandcrystallographic groupBieberbach manifold

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• On the systoliy geometry of Bieberbach manifolds
• Bieberbach groups and flat manifolds
• Flat Riemannian manifolds are boundaries
• The unoriented cobordism classes of compact flat Riemannian manifolds
• The systolic constant of orientable Bieberbach 3-manifolds
• Geometry of Crystallographic Groups
• Small Hyperbolic 3-Manifolds With Geodesic Boundary
• Riemannian geometry

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