A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach

DOI10.2478/BF02475953zbMath1060.53013MaRDI QIDQ1422622

Oldřich Kowalski, Barbara Opozda, Zdeněk Vlášek

Publication date: 23 February 2004

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Killing vector fieldsLie algebras of vector fieldstwo-dimensional manifolds with affine connectionlocally homogeneous connectionsOlver's classificationOpozda's formulasoftware Maple V Release 4

Mathematics Subject Classification ID

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

Related Items (11)

Complete \(k\)-curvature homogeneous pseudo-Riemannian manifolds ⋮ Torsion free affine connections on three-dimensional homogeneous spaces ⋮ On distinguished local coordinates for locally homogeneous affine surfaces ⋮ A classification of locally homogeneous affine connections on compact surfaces ⋮ Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds ⋮ The existence of homogeneous geodesics in homogeneous pseudo-Riemannian and affine manifolds ⋮ Locally homogeneous rigid geometric structures on surfaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Homogeneous surfaces admitting invariant connections ⋮ QUASIHOMOGENEOUS ANALYTIC AFFINE CONNECTIONS ON SURFACES

Uses Software

• Maple

Cites Work

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• A classification of locally homogeneous affine connections with skew-symmetric Ricci tensor on 2-dimensional manifolds
• A classification of locally homogeneous connections on 2-dimensional manifolds
• Curvature homogeneity of affine connections on two-dimensional manifolds

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