Some natural operations between connections on fibred manifolds

Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1996), p. [73]-84 / Harvested from

Résumé

Given a fibered manifold $Y \to X$ , a 2-connection on $Y$ means a section $J^{1} Y \to J^{2} Y$ . The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^{1} Y \to Y$ . (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^{1} Y \to Y$ .) Using this result, the authors deduce several properties of characterizable connections on $J^{1} Y \to X$ .

MR MR1396603 | Zbl 0858.53020

EUDML-ID : urn:eudml:doc:221399
Mots clés:

@article{701566,
     title = {Some natural operations between connections on fibred manifolds},
     booktitle = {Proceedings of the Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1996},
     pages = {[73]-84},
     mrnumber = {MR1396603},
     zbl = {0858.53020},
     url = {http://dml.mathdoc.fr/item/701566}
}

Doupovec, Miroslav; Vondra, Alexandr. Some natural operations between connections on fibred manifolds, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books,  (1996), pp. [73]-84. http://gdmltest.u-ga.fr/item/701566/