On the Weilian prolongations of natural bundles
Czechoslovak Mathematical Journal (2012)
- Volume: 62, Issue: 2, page 487-494
- ISSN: 0011-4642
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topKolář, Ivan. "On the Weilian prolongations of natural bundles." Czechoslovak Mathematical Journal 62.2 (2012): 487-494. <http://eudml.org/doc/246703>.
@article{Kolář2012,
abstract = {We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration $F(EM)$ of two natural bundles $E$ and $F$. Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem.},
author = {Kolář, Ivan},
journal = {Czechoslovak Mathematical Journal},
keywords = {Weil algebra; Weil functor; natural bundle; gauge natural bundle; Weil algebra; Weil functor; natural bundle; gauge natural bundle},
language = {eng},
number = {2},
pages = {487-494},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Weilian prolongations of natural bundles},
url = {http://eudml.org/doc/246703},
volume = {62},
year = {2012},
}
TY - JOUR
AU - Kolář, Ivan
TI - On the Weilian prolongations of natural bundles
JO - Czechoslovak Mathematical Journal
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 2
SP - 487
EP - 494
AB - We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration $F(EM)$ of two natural bundles $E$ and $F$. Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem.
LA - eng
KW - Weil algebra; Weil functor; natural bundle; gauge natural bundle; Weil algebra; Weil functor; natural bundle; gauge natural bundle
UR - http://eudml.org/doc/246703
ER -
References
top- Kolář, I., Weil Bundles as Generalized Jet Spaces, Handbook of Global Analysis, Elsevier, Amsterdam (2008), 625-664. (2008) Zbl1236.58010MR2389643
- Kolář, I., Michor, P. W., Slovák, J., Natural Operations in Differential Geometry, Berlin: Springer Verlag (1993). (1993) MR1202431
- Kolář, I., Mikulski, W. M., 10.1016/S0926-2245(99)00022-4, Differ. Geom. Appl. 11 (1999), 105-115. (1999) MR1712139DOI10.1016/S0926-2245(99)00022-4
- Nijenhuis, A., Natural bundles and their general properties. Geometric objects revisited, Diff. Geometry, in Honor of Kentaro Yano (1972), 317-334. (1972) Zbl0246.53018MR0380862
- Weil, A., Théorie des points proches sur les variétés différentiables, Colloques internat. Centre nat. Rech. Sci. 52 (1953), 111-117 French. (1953) Zbl0053.24903MR0061455
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