Geodesic
Natural transformations of semi-holonomic 3-jets
Archivum mathematicum, Tome 31 (1995) no. 4, pp. 313-318.

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

Let $\bar{J}^3$ be the functor of semi-holonomic $3$-jets and $\bar{J}^{3,2}$ be the functor of those semi-holonomic $3$-jets, which are holonomic in the second order. We deduce that the only natural transformations $\bar{J}^3 \rightarrow \bar{J}^3$ are the identity and the contraction. Then we determine explicitely all natural transformations $\bar{J}^{3,2}\rightarrow \bar{J}^{3,2}$, which form two $5$-parameter families.
Classification : 53A55, 58A20
Keywords: semi-holonomic 3-jet; natural transformation 
@article{ARM_1995__31_4_a8,
     author = {Vosmansk\'a, Gabriela},
     title = {Natural transformations of semi-holonomic 3-jets},
     journal = {Archivum mathematicum},
     pages = {313--318},
     publisher = {mathdoc},
     volume = {31},
     number = {4},
     year = {1995},
     mrnumber = {1390591},
     zbl = {0852.58003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a8/}
}
TY  - JOUR
AU  - Vosmanská, Gabriela
TI  - Natural transformations of semi-holonomic 3-jets
JO  - Archivum mathematicum
PY  - 1995
SP  - 313
EP  - 318
VL  - 31
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a8/
LA  - en
ID  - ARM_1995__31_4_a8
ER  - 
%0 Journal Article
%A Vosmanská, Gabriela
%T Natural transformations of semi-holonomic 3-jets
%J Archivum mathematicum
%D 1995
%P 313-318
%V 31
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a8/
%G en
%F ARM_1995__31_4_a8
Vosmanská, Gabriela. Natural transformations of semi-holonomic 3-jets. Archivum mathematicum, Tome 31 (1995) no. 4, pp. 313-318. http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a8/