Geodesic
The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$
Archivum mathematicum, Tome 36 (2000) no. 4, pp. 255-260

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

For integers $r\ge 2$ and $n\ge 2$ a complete classification of all natural operators $A:T_{\vert M_n}\rightsquigarrow T(J^rT^*)^*$ lifting vector fields to vector fields on the natural bundle $(J^rT^*)^*$ dual to $r$-jet prolongation $J^rT^*$ of the cotangent bundle over $n$-manifolds is given.
Classification : 53A55, 58A20, 58A32
Keywords: bundle functors; natural transformations; natural operators 
@article{ARM_2000__36_4_a1,
     author = {Mikulski, W{\l}odzimierz M.},
     title = {The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$},
     journal = {Archivum mathematicum},
     pages = {255--260},
     publisher = {mathdoc},
     volume = {36},
     number = {4},
     year = {2000},
     mrnumber = {1811169},
     zbl = {1049.58011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000__36_4_a1/}
}
TY  - JOUR
AU  - Mikulski, Włodzimierz M.
TI  - The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$
JO  - Archivum mathematicum
PY  - 2000
SP  - 255
EP  - 260
VL  - 36
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2000__36_4_a1/
LA  - en
ID  - ARM_2000__36_4_a1
ER  - 
%0 Journal Article
%A Mikulski, Włodzimierz M.
%T The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$
%J Archivum mathematicum
%D 2000
%P 255-260
%V 36
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2000__36_4_a1/
%G en
%F ARM_2000__36_4_a1
Mikulski, Włodzimierz M. The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$. Archivum mathematicum, Tome 36 (2000) no. 4, pp. 255-260. http://geodesic.mathdoc.fr/item/ARM_2000__36_4_a1/