A classification of isometry groups of homogeneous 3-manifolds

DOI10.1002/mana.201400292zbMath1408.53070OpenAlexW2514675873MaRDI QIDQ2832678

Panagiotis Konstantis, Frank Loose

Publication date: 11 November 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400292

zbMATH Keywords

classificationhomogeneous spaces3-manifoldsisometry groupsThurston geometries

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (2)

Prolongations of isometric actions to vector bundles ⋮ Parallel spinors on globally hyperbolic Lorentzian four-manifolds

Cites Work

• Geometric structures on compact complex analytic surfaces
• Curvatures of left invariant metrics on Lie groups
• Locally homogeneous Riemannian manifolds and Cartan triples
• Classifying 3 and 4 dimensional homogeneous Riemannian manifolds by Cartan triples
• On the three-dimensional spaces which admit a continuous group of motions
• Transformation groups in differential geometry.
• A Unique Decomposition Theorem for 3-Manifolds
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• The Geometries of 3-Manifolds

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