Lifting of projectable vector fields to vertical fiber product preserving vector bundles
Mikulski, Włodzimierz M.
Archivum Mathematicum, Tome 042 (2006), p. 265-271 / Harvested from 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.

Publié le : 2006-01-01
Classification:  58A20,  58A32
@article{108006,
     author = {W\l odzimierz M. Mikulski},
     title = {Lifting of projectable vector fields to vertical fiber product preserving vector bundles},
     journal = {Archivum Mathematicum},
     volume = {042},
     year = {2006},
     pages = {265-271},
     zbl = {1164.58303},
     mrnumber = {2260386},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108006}
}
Mikulski, Włodzimierz M. Lifting of projectable vector fields to vertical fiber product preserving vector bundles. Archivum Mathematicum, Tome 042 (2006) pp. 265-271. http://gdmltest.u-ga.fr/item/108006/

Natural operators transforming vector fields to the second order tangent bundle, Časopis pěst. mat. 115 (1990), 64–72. | MR 1044015 | Zbl 0712.58003

On the natural operators transforming vector fields to the $r$-th tensor power, Suppl. Rend. Math. Circ. Palermo II(32) (1993), 15–20. | MR 1283617

Natural operations in differential geometry, Springer-Verlag, Berlin 1993. | MR 1202431

On the fiber product preserving bundle functors, Differential Geom. Appl. 11 (1999), 105–115.. | MR 1712139

Lifting of linear vector fields to fiber product preserving vertical gauge bundles, Colloq. Math. 103(1) (2005), 33–40. | MR 2148947

Some natural constructions on vector fields and higher order cotangent bundles, Monatsh. Math. 117 (1994), 107–115. | MR 1266777 | Zbl 0796.58002

Some natural operations on vector fields, Rend. Mat. Roma 12 (1992), 783–803. | MR 1205977 | Zbl 0766.58005

The natural operators lifting projectable vector fields to some fiber product preserving bundles, Ann. Polon. Math. 81.3 (2003), 261–271. | MR 2044627 | Zbl 1099.58003