The author studies relations between the following two types of natural operators: 1. Natural operators transforming vector fields on manifolds into vector fields on a natural bundle ; 2. Natural operators transforming vector fields on manifolds into functions on the cotangent bundle of . It is deduced that under certain assumptions on , all natural operators of the second type can be constructed through those of the first one.
@article{701550,
title = {On cotangent bundles of some natural bundles},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1994},
pages = {[115]-120},
mrnumber = {MR1344006},
zbl = {0839.58007},
url = {http://dml.mathdoc.fr/item/701550}
}
Kolář, Ivan. On cotangent bundles of some natural bundles, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1994), pp. [115]-120. http://gdmltest.u-ga.fr/item/701550/