Lifts and isomorphisms of commutation in bundles of jets

Autores: Fernando Etayo Gordejuela
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 39, Fasc. 3, 1988, págs. 231-247
Idioma: inglés
Títulos paralelos:
- Levantamientos e isomorfismos de conmutación en fibrados de haces
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Resumen
- A linear connection or a pseudo-connection on a manifold $M$ can be considered as a generalized connection, i.e, as a (1,1)-tensor field on $TM$. In this paper we study the relationship between the lifts of $\nabla$ to $T_rM$ when $\nabla$ is considered as a connection (resp. pseudo-connection) and as a tensor field. We prove that certain isomorphims of commutation link both concepts. For this purpose, we study firstly generalized connections, obtaining some new results about them.