The author considers the problem to give explicit descriptions for several types of bundles on smooth manifolds, naturally related with the bundle of -dimensional velocities, or -jets. In fact, this kind of bundles are very natural objects in differential geometry, mechanics and Lagrangian dynamics. For this the author considers Weil bundles that arose from Weil algebras. If a suitable combinatorial data is provided by a simplicial coloured structure, then the author describes the corresponding Weil bundle and its Weil algebra.
@article{702141,
title = {On the simplicial structure of some Weil bundles},
booktitle = {Proceedings of the 19th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {2000},
pages = {131-140},
mrnumber = {MR1758088},
zbl = {0981.58001},
url = {http://dml.mathdoc.fr/item/702141}
}
Kureš, Miroslav. On the simplicial structure of some Weil bundles, dans Proceedings of the 19th Winter School "Geometry and Physics", GDML_Books, (2000), pp. 131-140. http://gdmltest.u-ga.fr/item/702141/