Torsion free affine connections on three-dimensional homogeneous spaces

DOI10.17377/semi.2017.14.026zbMath1375.53067MaRDI QIDQ2403629

Natal'ya Pavlovna Mozheĭ

Publication date: 11 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Lie algebrahomogeneous spacetransformation grouptorsion tensorholonomy algebrainvariant affine connection

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Linear and affine connections (53B05)

Related Items

Torsion free equiaffine connections on three-dimensional spaces

Cites Work

• A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach
• A classification of locally homogeneous connections on 2-dimensional manifolds
• Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds
• Holonomy and the Lie Algebra of Infinitesimal Motions of a Riemannian Manifold
• On Invariant Connections over a Principal Fibre Bundle
• On the Vector in Homogeneous Spaces
• Invariant Affine Connections on Homogeneous Spaces
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