Topological aspects of conformally flat manifolds

DOI10.3792/PJAA.65.231zbMath0706.57023OpenAlexW1969340147MaRDI QIDQ919331

Shigenori Matsumoto

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.231

zbMATH Keywords

Cantor setconformally flat manifoldslimit setsdeveloping mapconformally flat 3-manifold

Mathematics Subject Classification ID

Differential topology (57R99) Global Riemannian geometry, including pinching (53C20) Discontinuous groups of transformations (57S30) Noncompact Lie groups of transformations (57S20)

Cites Work

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• Manifolds with canonical coordinate charts: Some examples
• Closed similarity manifolds
• Monodromy groups and linearly polymorphic functions
• Conformally Flat Manifolds with Nilpotent Holonomy and the Uniformization Problem for 3-Manifolds
• Deformations of hyperbolic structures
• Conformally Flat Manifolds whose Development Maps are not Surjective. I
• A Wild Cantor Set as the Limit Set of a Conformal Group Action on S 3

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