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
• Enlaces
  • Texto completo
• 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.