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/