Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups

DOI10.1142/S0218216521500693OpenAlexW3216911457MaRDI QIDQ5022633

Oscar Ocampo

Publication date: 19 January 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.05123

zbMATH Keywords

Kähler manifoldBieberbach groupbraid groupAnosov diffeomorphismflat manifold

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Other geometric groups, including crystallographic groups (20H15) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items (1)

Virtual braid groups, virtual twin groups and crystallographic groups

Cites Work

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• Crystallographic groups and flat manifolds from complex reflection groups
• A quotient of the Artin braid groups related to crystallographic groups
• On the holonomy group of locally euclidean spaces
• Kähler flat manifolds
• Bieberbach groups and flat manifolds
• On Bieberbach subgroups of \(B _n/[P _n,P _n\) and flat manifolds with cyclic holonomy \(\mathbb{Z}_{2^d}\)]
• Anosov diffeomorphisms of flat manifolds
• Almost-Bieberbach groups: affine and polynomial structures
• Geometry of Crystallographic Groups
• Kähler groups and rigidity phenomena
• Differentiable dynamical systems

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