Linear liftings of skew symmetric tensor fields of type $(1,2)$ to Weil bundles

Title:

Linear liftings of skew symmetric tensor fields of type $(1,2)$ to Weil bundles

Creator:

Debecki, Jacek

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ce0a2cec-6951-43c9-83f1-c9570186ad07
uuid:ce0a2cec-6951-43c9-83f1-c9570186ad07

Subject:

natural operator and Weil bundle

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper contains a classification of linear liftings of skew symmetric tensor fields of type $(1,2)$ on $n$-dimensional manifolds to tensor fields of type $(1,2)$ on Weil bundles under the condition that $n\ge 3.$ It complements author's paper ``Linear liftings of symmetric tensor fields of type $(1,2)$ to Weil bundles'' (Ann. Polon. Math. {\it 92}, 2007, pp. 13--27), where similar liftings of symmetric tensor fields were studied. We apply this result to generalize that of author's paper "Affine liftings of torsion-free connections to Weil bundles'' (Colloq. Math. {\it 114}, 2009, pp. 1--8) and get a classification of affine liftings of all linear connections to Weil bundles.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

933-943

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:4

Harvested from:

CDK

Metadata only:

false