Hyperbolic 4-manifolds and tesselations

DOI10.1007/BF02698541zbMath0692.57013OpenAlexW1987785575MaRDI QIDQ583664

Nicolaas H. Kuiper

Publication date: 1988

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1988__68__47_0

zbMATH Keywords

Teichmüller spaceinvolutionsdiscrete subgroups of SO(4,1)conformal 3-manifoldsplane bundles over a compact surfaceSeifert fibered manifoldstesselation hyperbolic 4-manifoldstesselations

Mathematics Subject Classification ID

Related Items (12)

Some curious Kleinian groups and hyperbolic 5-manifolds ⋮ Differential geometry of Grassmannians and the Plücker map ⋮ Compact hyperbolic manifolds without spin structures ⋮ Yet another Poincaré Polyhedron Theorem ⋮ Constructing conformally flat structures on some Seifert fibred 3- manifolds ⋮ Discrete subgroups of \(\mathrm{PU}(2,1)\) generated by \(n\) complex reflections and deformation. ⋮ Convex plumbings in closed hyperbolic 4-manifolds ⋮ Hyperbolic 4-manifolds and conformally flat 3-manifolds ⋮ A couple of real hyperbolic disc bundles over surfaces ⋮ Intersections in hyperbolic manifolds ⋮ Boundary conformal field theories, limit sets of Kleinian groups and holography ⋮ Nonstandard uniformized conformal structures on hyperbolic manifolds

Cites Work

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• Hyperbolic 4-manifolds and conformally flat 3-manifolds
• Projective structures with Fuchsian holonomy
• Conformally flat manifolds, Kleinian groups and scalar curvature
• On the existence of a connection with curvature zero
• Bundles with totally disconnected structure group
• Normal Curvatures and Euler Classes for Polyhedral Surfaces in 4-Space
• Regular (or canonical) open neighborhoods

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