# Natural transformations of higher order cotangent bundle functors

Annales Polonici Mathematici (1993)

- Volume: 58, Issue: 1, page 29-35
- ISSN: 0066-2216

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topJan Kurek. "Natural transformations of higher order cotangent bundle functors." Annales Polonici Mathematici 58.1 (1993): 29-35. <http://eudml.org/doc/262276>.

@article{JanKurek1993,

abstract = {We determine all natural transformations of the rth order cotangent bundle functor $T^\{r*\}$ into $T^\{s*\}$ in the following cases: r = s, r < s, r > s. We deduce that all natural transformations of $T^\{r*\}$ into itself form an r-parameter family linearly generated by the pth power transformations with p =1,...,r.},

author = {Jan Kurek},

journal = {Annales Polonici Mathematici},

keywords = {higher order cotangent bundle; jet; pth power transformation; jets; -th power transformation},

language = {eng},

number = {1},

pages = {29-35},

title = {Natural transformations of higher order cotangent bundle functors},

url = {http://eudml.org/doc/262276},

volume = {58},

year = {1993},

}

TY - JOUR

AU - Jan Kurek

TI - Natural transformations of higher order cotangent bundle functors

JO - Annales Polonici Mathematici

PY - 1993

VL - 58

IS - 1

SP - 29

EP - 35

AB - We determine all natural transformations of the rth order cotangent bundle functor $T^{r*}$ into $T^{s*}$ in the following cases: r = s, r < s, r > s. We deduce that all natural transformations of $T^{r*}$ into itself form an r-parameter family linearly generated by the pth power transformations with p =1,...,r.

LA - eng

KW - higher order cotangent bundle; jet; pth power transformation; jets; -th power transformation

UR - http://eudml.org/doc/262276

ER -

## References

top- [1] J. Gancarzewicz, Differential Geometry, PWN, Warszawa 1987 (in Polish).
- [2] I. Kolář, Some natural operators in differential geometry, in: Proc. Conf. Diff. Geom. and its Applications, Brno 1986, Kluwer, Dordrecht 1987, 91-110.
- [3] I. Kolář and G. Vosmanska, Natural transformations of higher order tangent bundles and jet spaces, Časopis Pěst. Mat. 114 (2) (1989), 181-186. Zbl0678.58002
- [4] I. Kolář, P. Michor and J. Slovak, Natural Operations in Differential Geometry, to appear. Zbl0782.53013
- [5] J. Kurek, On natural operators on sectorform fields, Časopis Pěst. Mat. 115 (3) (1990), 232-239. Zbl0706.58003

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