Lifting of linear vector fields to fiber product preserving vertical gauge bundles

J. Kurek; W. M. Mikulski

Colloquium Mathematicae (2005)

  • Volume: 103, Issue: 1, page 33-40
  • ISSN: 0010-1354

Abstract

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We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.

How to cite

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J. Kurek, and W. M. Mikulski. "Lifting of linear vector fields to fiber product preserving vertical gauge bundles." Colloquium Mathematicae 103.1 (2005): 33-40. <http://eudml.org/doc/284293>.

@article{J2005,
abstract = {We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.},
author = {J. Kurek, W. M. Mikulski},
journal = {Colloquium Mathematicae},
keywords = {gauge bundles; natural operators; vector fields},
language = {eng},
number = {1},
pages = {33-40},
title = {Lifting of linear vector fields to fiber product preserving vertical gauge bundles},
url = {http://eudml.org/doc/284293},
volume = {103},
year = {2005},
}

TY - JOUR
AU - J. Kurek
AU - W. M. Mikulski
TI - Lifting of linear vector fields to fiber product preserving vertical gauge bundles
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 33
EP - 40
AB - We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.
LA - eng
KW - gauge bundles; natural operators; vector fields
UR - http://eudml.org/doc/284293
ER -

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