On the natural transformations of Weil bundles
Archivum Mathematicum (2013)
- Volume: 049, Issue: 5, page 303-308
- ISSN: 0044-8753
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topKolář, Ivan. "On the natural transformations of Weil bundles." Archivum Mathematicum 049.5 (2013): 303-308. <http://eudml.org/doc/260764>.
@article{Kolář2013,
abstract = {First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.},
author = {Kolář, Ivan},
journal = {Archivum Mathematicum},
keywords = {Weil functor; natural transformation of Weil bundles; Weil functor; natural transformation of Weil bundles},
language = {eng},
number = {5},
pages = {303-308},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the natural transformations of Weil bundles},
url = {http://eudml.org/doc/260764},
volume = {049},
year = {2013},
}
TY - JOUR
AU - Kolář, Ivan
TI - On the natural transformations of Weil bundles
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 5
SP - 303
EP - 308
AB - First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.
LA - eng
KW - Weil functor; natural transformation of Weil bundles; Weil functor; natural transformation of Weil bundles
UR - http://eudml.org/doc/260764
ER -
References
top- Ehresmann, C., Oeuvres complètes et commentés, Parties I–1 et I–2, Cahiers Topol. Géom. Diff. XXIV (Suppl. 1 et 2) (1983). (1983)
- Kolář, I., Affine structures on Weil bundles, Nagoya Math. J. 158 (2000), 99–106. (2000)
- Kolář, I., Handbook of Global Analysis, ch. Weil Bundles as Generalized Jet Spaces, pp. 625–664, Elsevier, Amsterdam, 2008. (2008) MR2389643
- Kolář, I., On the functorial prolongations of fiber bundles, Proceedings of AGMP 8, 2012. (2012)
- Kolář, I., Michor, P. W., Slovák, J., Natural Operations in Differential Geometry, Springer Verlag, 1993. (1993)
- Weil, A., Théorie des points proches sur les variétées différentiables, Colloques internat. Centre nat. Rech. Sci. 52 (1953), 111–117. (1953)
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