Lifting of projectable vector fields to vertical fiber product preserving vector bundles
Archivum mathematicum, Tome 42 (2006) no. 3, pp. 265-271
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We classify all natural operators lifting projectable vector fields from fibered manifolds to vector fields on vertical fiber product preserving vector bundles. We explain this result for some more known such bundles.
Classification :
58A20, 58A32
Keywords: fibered manifolds; vector bundle functors; natural operators; natural transformations
Keywords: fibered manifolds; vector bundle functors; natural operators; natural transformations
@article{ARM_2006__42_3_a8,
author = {Mikulski, W{\l}odzimierz M.},
title = {Lifting of projectable vector fields to vertical fiber product preserving vector bundles},
journal = {Archivum mathematicum},
pages = {265--271},
publisher = {mathdoc},
volume = {42},
number = {3},
year = {2006},
mrnumber = {2260386},
zbl = {1164.58303},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_3_a8/}
}
TY - JOUR AU - Mikulski, Włodzimierz M. TI - Lifting of projectable vector fields to vertical fiber product preserving vector bundles JO - Archivum mathematicum PY - 2006 SP - 265 EP - 271 VL - 42 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ARM_2006__42_3_a8/ LA - en ID - ARM_2006__42_3_a8 ER -
Mikulski, Włodzimierz M. Lifting of projectable vector fields to vertical fiber product preserving vector bundles. Archivum mathematicum, Tome 42 (2006) no. 3, pp. 265-271. http://geodesic.mathdoc.fr/item/ARM_2006__42_3_a8/