Conformally Flat Manifolds whose Development Maps are not Surjective. I

DOI10.2307/2000203zbMath0608.53036OpenAlexW4239748438MaRDI QIDQ3747304

Yoshinobu Kamishima

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000203

zbMATH Keywords

limit sethyperbolic spaceholonomy groupconformally flatdevelopment map

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (15)

A canonical metric for Möbius structures and its applications ⋮ Quasiconformal stability of Kleinian groups and an embedding of a space of flat conformal structures ⋮ Conformally flat manifolds, Kleinian groups and scalar curvature ⋮ Spherical CR-manifolds of dimension 3 ⋮ Lorentzian similarity manifolds ⋮ On the topology of closed manifolds with quasi-constant sectional curvature ⋮ Conformally flat structures on three-dimensional manifolds: The existence problem. I ⋮ Moduli of flat conformal structures of hyperbolic type ⋮ Topological aspects of conformally flat manifolds ⋮ On conformally flat Lorentz parabolic manifolds ⋮ Conformal flatness and self-duality of Thurston-geometries ⋮ Hyperbolic 4-manifolds and conformally flat 3-manifolds ⋮ Conformal Automorphisms and Conformally Flat Manifolds ⋮ Affine manifolds with dilations ⋮ Nonstandard uniformized conformal structures on hyperbolic manifolds

Cites Work

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• Isometry groups of simply connected manifolds of nonpositive curvature
• There are no fake Seifert fibre spaces with infinite \(\pi_1\).
• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• Ends of double extension groups
• Projective structures with Fuchsian holonomy
• The density at infinity of a discrete group of hyperbolic motions
• Closed similarity manifolds
• Conformally flat Riemannian manifolds admitting a transitive group of isometries. II
• Groups with domains of discontinuity
• On the principle of uniformization
• Visibility manifolds
• Compact manifolds of nonpositive curvature
• On compact conformally euclidean spaces of dimension \(>2\)
• On conformally-flat spaces in the large
• Conformally Flat Manifolds with Nilpotent Holonomy and the Uniformization Problem for 3-Manifolds
• The Geometries of 3-Manifolds
• Manifolds of Negative Curvature
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
• Uniformization, Moduli, and Kleinian Groups†

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