Nayatani’s metric and conformal transformations of a Kleinian manifold

DOI10.1090/S0002-9939-07-09022-3zbMath1151.53034MaRDI QIDQ5429453

Yasuhiro Yabuki

Publication date: 30 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Kleinian groupconformally flatgeometrically finitePatterson Sullivan measureNayatani's metric

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Invariance of the Nayatani metrics for Kleinian manifolds

Cites Work

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• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Conformally flat manifolds, Kleinian groups and scalar curvature
• The density at infinity of a discrete group of hyperbolic motions
• The limit set of a Fuchsian group
• Patterson-Sullivan measure and conformally flat metrics
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• The geometry of finitely generated Kleinian groups
• Geometrical finiteness for hyperbolic groups
• Geometrically finite kleinian groups: The completeness of Nayatani's metric

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