Lifting of projectable vector fields to vertical fiber product preserving vector bundles

Włodzimierz M. Mikulski

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 3, page 265-271
  • ISSN: 0044-8753

Abstract

top
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.

How to cite

top

Mikulski, Włodzimierz M.. "Lifting of projectable vector fields to vertical fiber product preserving vector bundles." Archivum Mathematicum 042.3 (2006): 265-271. <http://eudml.org/doc/249808>.

@article{Mikulski2006,
abstract = {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.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {fibered manifolds; vector bundle functors; natural operators; natural transformations; fibered manifolds; vector bundle functors; natural operators},
language = {eng},
number = {3},
pages = {265-271},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Lifting of projectable vector fields to vertical fiber product preserving vector bundles},
url = {http://eudml.org/doc/249808},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Lifting of projectable vector fields to vertical fiber product preserving vector bundles
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 3
SP - 265
EP - 271
AB - 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.
LA - eng
KW - fibered manifolds; vector bundle functors; natural operators; natural transformations; fibered manifolds; vector bundle functors; natural operators
UR - http://eudml.org/doc/249808
ER -

References

top
  1. Natural operators transforming vector fields to the second order tangent bundle, Časopis pěst. mat. 115 (1990), 64–72. Zbl0712.58003MR1044015
  2. On the natural operators transforming vector fields to the r -th tensor power, Suppl. Rend. Math. Circ. Palermo II(32) (1993), 15–20. MR1283617
  3. Natural operations in differential geometry, Springer-Verlag, Berlin 1993. MR1202431
  4. On the fiber product preserving bundle functors, Differential Geom. Appl. 11 (1999), 105–115.. MR1712139
  5. Lifting of linear vector fields to fiber product preserving vertical gauge bundles, Colloq. Math. 103(1) (2005), 33–40. MR2148947
  6. Some natural constructions on vector fields and higher order cotangent bundles, Monatsh. Math. 117 (1994), 107–115. Zbl0796.58002MR1266777
  7. Some natural operations on vector fields, Rend. Mat. Roma 12 (1992), 783–803. Zbl0766.58005MR1205977
  8. The natural operators lifting projectable vector fields to some fiber product preserving bundles, Ann. Polon. Math. 81.3 (2003), 261–271. Zbl1099.58003MR2044627

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.