# Natural transformations of semi-holonomic 3-jets

Archivum Mathematicum (1995)

- Volume: 031, Issue: 4, page 313-318
- ISSN: 0044-8753

## Access Full Article

top## Abstract

top## How to cite

topVosmanská, Gabriela. "Natural transformations of semi-holonomic 3-jets." Archivum Mathematicum 031.4 (1995): 313-318. <http://eudml.org/doc/247670>.

@article{Vosmanská1995,

abstract = {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.},

author = {Vosmanská, Gabriela},

journal = {Archivum Mathematicum},

keywords = {semi-holonomic 3-jet; natural transformation; semi-holonomic jets; natural transformations},

language = {eng},

number = {4},

pages = {313-318},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Natural transformations of semi-holonomic 3-jets},

url = {http://eudml.org/doc/247670},

volume = {031},

year = {1995},

}

TY - JOUR

AU - Vosmanská, Gabriela

TI - Natural transformations of semi-holonomic 3-jets

JO - Archivum Mathematicum

PY - 1995

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 031

IS - 4

SP - 313

EP - 318

AB - 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.

LA - eng

KW - semi-holonomic 3-jet; natural transformation; semi-holonomic jets; natural transformations

UR - http://eudml.org/doc/247670

ER -

## References

top- Extension du calcul des jets aux jets non-holonomes, C.R.Acad. Sci. Paris, 239 (1954), 1762-1764. Zbl0057.15603MR0066734
- The contact of spaces with connection, J. Differential Geometry 7 (1972), 563-570. MR0415660
- Natural Operations in Differential Geometry, Springer-Verlag, 1993. MR1202431
- Natural operations with second order jets, Rendiconti del Circolo Matematico di Palermo, Serie II, n. 14 (1987), 179-186. MR0920854
- Natural transformations of higher order tangent bundles and jet spaces, Čas. pěst. mat. 114 (1989), 181-186. MR1063764
- Total connections in Lie groupoids, Arch. Math. (Brno), 31 (1995), 183-200. Zbl0841.53024MR1368257

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.