Natural transformations of higher order cotangent bundle functors
Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 29-35
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
higher order cotangent bundle, jet, pth power transformation
Affiliations des auteurs :
Jan Kurek 1
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author = {Jan Kurek},
title = {Natural transformations of higher order cotangent bundle functors},
journal = {Annales Polonici Mathematici},
pages = {29--35},
publisher = {mathdoc},
volume = {58},
number = {1},
year = {1993},
doi = {10.4064/ap-58-1-29-35},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-58-1-29-35/}
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TY - JOUR AU - Jan Kurek TI - Natural transformations of higher order cotangent bundle functors JO - Annales Polonici Mathematici PY - 1993 SP - 29 EP - 35 VL - 58 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-58-1-29-35/ DO - 10.4064/ap-58-1-29-35 LA - en ID - 10_4064_ap_58_1_29_35 ER -
Jan Kurek. Natural transformations of higher order cotangent bundle functors. Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 29-35. doi: 10.4064/ap-58-1-29-35
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