Hyperbolic 4-manifolds and conformally flat 3-manifolds

DOI10.1007/BF02698540zbMath0692.57012OpenAlexW1973611277WikidataQ101505650 ScholiaQ101505650MaRDI QIDQ583662

H. Blaine jun. Lawson, William P. Thurston, Mikhael Gromov

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__27_0

zbMATH Keywords

conformal structurescircle bundlescomplete hyperbolic manifold structuresdiscrete subgroups of SO(4,1)plane bundles over an oriented closed surface

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

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Cites Work

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• Projective structures with Fuchsian holonomy
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• Bundles with totally disconnected structure group
• Conformally Flat Manifolds with Nilpotent Holonomy and the Uniformization Problem for 3-Manifolds
• Conformally Flat Manifolds whose Development Maps are not Surjective. I