Natural lifting of connections to vertical bundles
Kolář, Ivan ; Mikulski, Włodzimierz M.
Proceedings of the 19th Winter School "Geometry and Physics", GDML_Books, (2000), p. 97-102 / Harvested from
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One studies the flow prolongation of projectable vector fields with respect to a bundle functor of order (r,s,q) on the category of fibered manifolds. As a result, one constructs an operator transforming connections on a fibered manifold Y into connections on an arbitrary vertical bundle over Y. It is deduced that this operator is the only natural one of finite order and one presents a condition on vertical bundles over Y under which every natural operator in question has finite order.

EUDML-ID : urn:eudml:doc:221569
Mots clés: 
@article{701652,
     title = {Natural lifting of connections to vertical bundles},
     booktitle = {Proceedings of the 19th Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {2000},
     pages = {97-102},
     mrnumber = {MR1758084},
     zbl = {0978.53056},
     url = {http://dml.mathdoc.fr/item/701652}
}

Kolář, Ivan; Mikulski, Włodzimierz M. Natural lifting of connections to vertical bundles, dans Proceedings of the 19th Winter School "Geometry and Physics", GDML_Books,  (2000), pp. 97-102. http://gdmltest.u-ga.fr/item/701652/