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On the torsion of linear higher order connections

100%

Kolář I.

Open Mathematics

2003

tom 1

nr 3

360-366

For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches.

On Martin Bordemann's proof of the existence of projectively equivariant quantizations

100%

Lecomte P.

Open Mathematics

2004

tom 2

nr 5

793-800

The paper explains the notion of projectively equivariant quantization. It gives a sketch of Martin Bordemann's proof of the existence of projectively equivariant quantization on arbitrary manifolds.

Higher order valued reduction theorems for classical connections

100%

Janyška J.

Open Mathematics

2005

tom 3

nr 2

294-308

We generalize reduction theorems for classical connections to operators with values in k-th order natural bundles. Using the 2nd order valued reduction theorems we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.

Ograniczanie wyników

3 Open Mathematics

1 Janyška J.

1 Kolář I.

1 Lecomte P.

1 2005

1 2004

1 2003

Wyniki wyszukiwania

On the torsion of linear higher order connections

On Martin Bordemann's proof of the existence of projectively equivariant quantizations

Higher order valued reduction theorems for classical connections