Natural affinors on ${\left(J^{r,s,q}{(.,{ℝ}^{1,1})}_0\right)}^{*}$

@article{Mikulski2001,
abstract = {Let $r,s,q, m,n\in \mathbb \{N\}$ be such that $s\ge r\le q$. Let $Y$ be a fibered manifold with $m$-dimensional basis and $n$-dimensional fibers. All natural affinors on $(J^\{r,s,q\}(Y,\mathbb \{R\}^\{1,1\})_0)^*$ are classified. It is deduced that there is no natural generalized connection on $(J^\{r,s,q\}(Y,\mathbb \{R\}^\{1,1\})_0)^*$. Similar problems with $(J^\{r,s\}(Y,\mathbb \{R\})_0)^*$ instead of $(J^\{r,s,q\}(Y,\mathbb \{R\}^\{1,1\})_0)^*$ are solved.},
author = {Mikulski, Włodzimierz M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {bundle functors; natural transformations; natural affinors; bundle functors; natural transformations; natural affinors},
language = {eng},
number = {4},
pages = {655-663},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Natural affinors on $(J^\{r,s,q\}(.,\mathbb \{R\}^\{1,1\})_0)^*$},
url = {http://eudml.org/doc/248782},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Natural affinors on $(J^{r,s,q}(.,\mathbb {R}^{1,1})_0)^*$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 4
SP - 655
EP - 663
AB - Let $r,s,q, m,n\in \mathbb {N}$ be such that $s\ge r\le q$. Let $Y$ be a fibered manifold with $m$-dimensional basis and $n$-dimensional fibers. All natural affinors on $(J^{r,s,q}(Y,\mathbb {R}^{1,1})_0)^*$ are classified. It is deduced that there is no natural generalized connection on $(J^{r,s,q}(Y,\mathbb {R}^{1,1})_0)^*$. Similar problems with $(J^{r,s}(Y,\mathbb {R})_0)^*$ instead of $(J^{r,s,q}(Y,\mathbb {R}^{1,1})_0)^*$ are solved.
LA - eng
KW - bundle functors; natural transformations; natural affinors; bundle functors; natural transformations; natural affinors
UR - http://eudml.org/doc/248782
ER -