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Reduction theorem for general connections

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Janyška J.

Annales Polonici Mathematici

2011

tom 102

nr 3

231-254

We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection Γ on a fibered manifold and a classical connection Λ on the base manifold can be expressed as a zero order operator of the curvature tensors of Γ and Λ and their appropriate derivatives.

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

1 Annales Polonici Mathematici

1 Open Mathematics

2 Janyška J.

1 2011

1 2005

Wyniki wyszukiwania

Reduction theorem for general connections

Higher order valued reduction theorems for classical connections