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

100%

Kowalski O., Opozda B., Vlášek Z.

Open Mathematics

2004

tom 2

nr 1

87-102

The aim of this paper is to classify (lócally) all torsion-less locally homogeneous affine connections on two-dimensional manifolds from a group-theoretical point of view. For this purpose, we are using the classification of all non-equivalent transitive Lie algebras of vector fields in ℝ2 according to P.J. Olver [7].

Curvature homogeneity of affine connections on two-dimensional manifolds

100%

Kowalski O., Opozda B., Vlášek Z.

Colloquium Mathematicum

1999

tom 81

nr 1

123-139

Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Open Mathematics

2 Kowalski O.

2 Opozda B.

2 Vlášek Z.

1 2004

1 1999

Wyniki wyszukiwania

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

Curvature homogeneity of affine connections on two-dimensional manifolds