# The natural affinors on some fiber product preserving gauge bundle functors of vector bundles

Jan Kurek; Włodzimierz M. Mikulski

Archivum Mathematicum (2006)

- Volume: 042, Issue: 1, page 59-67
- ISSN: 0044-8753

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topKurek, Jan, and Mikulski, Włodzimierz M.. "The natural affinors on some fiber product preserving gauge bundle functors of vector bundles." Archivum Mathematicum 042.1 (2006): 59-67. <http://eudml.org/doc/249830>.

@article{Kurek2006,

abstract = {We classify all natural affinors on vertical fiber product preserving gauge bundle functors $F$ on vector bundles. We explain this result for some more known such $F$. We present some applications. We remark a similar classification of all natural affinors on the gauge bundle functor $F^*$ dual to $F$ as above. We study also a similar problem for some (not all) not vertical fiber product preserving gauge bundle functors on vector bundles.},

author = {Kurek, Jan, Mikulski, Włodzimierz M.},

journal = {Archivum Mathematicum},

keywords = {gauge bundle functors; natural operators; natural transformations; natural affinors; jets; natural operators; natural transformations; natural affinors; jets},

language = {eng},

number = {1},

pages = {59-67},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {The natural affinors on some fiber product preserving gauge bundle functors of vector bundles},

url = {http://eudml.org/doc/249830},

volume = {042},

year = {2006},

}

TY - JOUR

AU - Kurek, Jan

AU - Mikulski, Włodzimierz M.

TI - The natural affinors on some fiber product preserving gauge bundle functors of vector bundles

JO - Archivum Mathematicum

PY - 2006

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 042

IS - 1

SP - 59

EP - 67

AB - We classify all natural affinors on vertical fiber product preserving gauge bundle functors $F$ on vector bundles. We explain this result for some more known such $F$. We present some applications. We remark a similar classification of all natural affinors on the gauge bundle functor $F^*$ dual to $F$ as above. We study also a similar problem for some (not all) not vertical fiber product preserving gauge bundle functors on vector bundles.

LA - eng

KW - gauge bundle functors; natural operators; natural transformations; natural affinors; jets; natural operators; natural transformations; natural affinors; jets

UR - http://eudml.org/doc/249830

ER -

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