Natural transformations of higher order cotangent bundle functors
Jan Kurek
Annales Polonici Mathematici, Tome 58 (1993), p. 29-35 / Harvested from The Polish Digital Mathematics Library

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

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:262276
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     author = {Jan Kurek},
     title = {Natural transformations of higher order cotangent bundle functors},
     journal = {Annales Polonici Mathematici},
     volume = {58},
     year = {1993},
     pages = {29-35},
     zbl = {0778.58003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv58z1p29bwm}
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Jan Kurek. Natural transformations of higher order cotangent bundle functors. Annales Polonici Mathematici, Tome 58 (1993) pp. 29-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv58z1p29bwm/

[000] [1] J. Gancarzewicz, Differential Geometry, PWN, Warszawa 1987 (in Polish).

[001] [2] I. Kolář, Some natural operators in differential geometry, in: Proc. Conf. Diff. Geom. and its Applications, Brno 1986, Kluwer, Dordrecht 1987, 91-110.

[002] [3] I. Kolář and G. Vosmanska, Natural transformations of higher order tangent bundles and jet spaces, Časopis Pěst. Mat. 114 (2) (1989), 181-186. | Zbl 0678.58002

[003] [4] I. Kolář, P. Michor and J. Slovak, Natural Operations in Differential Geometry, to appear. | Zbl 0782.53013

[004] [5] J. Kurek, On natural operators on sectorform fields, Časopis Pěst. Mat. 115 (3) (1990), 232-239. | Zbl 0706.58003