Jet manifold associated to a Weil bundle

Alonso, Ricardo J.. "Jet manifold associated to a Weil bundle." Archivum Mathematicum 036.3 (2000): 195-199. <http://eudml.org/doc/248550>.

@article{Alonso2000,
abstract = {Given a Weil algebra $A$ and a smooth manifold $M$, we prove that the set $J^AM$ of kernels of regular $A$-points of $M$, $\check\{M\}^A$, has a differentiable manifold structure and $\check\{M\}^A\longrightarrow J^AM$ is a principal fiber bundle.},
author = {Alonso, Ricardo J.},
journal = {Archivum Mathematicum},
keywords = {jet; Weil bundle; Grassmann manifold; jet; Weil bundle; Grassmann manifold},
language = {eng},
number = {3},
pages = {195-199},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Jet manifold associated to a Weil bundle},
url = {http://eudml.org/doc/248550},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Alonso, Ricardo J.
TI - Jet manifold associated to a Weil bundle
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 3
SP - 195
EP - 199
AB - Given a Weil algebra $A$ and a smooth manifold $M$, we prove that the set $J^AM$ of kernels of regular $A$-points of $M$, $\check{M}^A$, has a differentiable manifold structure and $\check{M}^A\longrightarrow J^AM$ is a principal fiber bundle.
LA - eng
KW - jet; Weil bundle; Grassmann manifold; jet; Weil bundle; Grassmann manifold
UR - http://eudml.org/doc/248550
ER -