On the degeneration of some 3-manifold geometries via unit groups of quaternion algebras

DOI10.1007/s13398-014-0210-6zbMath1325.53069OpenAlexW2142521895MaRDI QIDQ496409

José María Montesinos Amilibia

Publication date: 21 September 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-014-0210-6

zbMATH Keywords

Riemannian geometryLie groupquaternion algebra

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) General geometric structures on low-dimensional manifolds (57M50) Lie groups (22E99)

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Cites Work

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• Curvatures of left invariant metrics on Lie groups
• Einstein manifolds
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• A class of operator algebras which are determined by groups
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• On the Contraction of Groups and Their Representations