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Title: On the natural transformations of Weil bundles (English)
Author: Kolář, Ivan
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 49
Issue: 5
Year: 2013
Pages: 303-308
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: Weil functor
Keyword: natural transformation of Weil bundles
MSC: 58A20
MSC: 58A32
idZBL: Zbl 06383792
idMR: MR3159329
DOI: 10.5817/AM2013-5-303
Date available: 2014-01-16T11:19:30Z
Last updated: 2015-03-19
Stable URL:
Reference: [1] Ehresmann, C.: Oeuvres complètes et commentés, Parties I–1 et I–2.Cahiers Topol. Géom. Diff. XXIV (Suppl. 1 et 2) (1983).
Reference: [2] Kolář, I.: Affine structures on Weil bundles.Nagoya Math. J. 158 (2000), 99–106.
Reference: [3] Kolář, I.: Handbook of Global Weil Bundles as Generalized Jet Spaces, pp. 625–664, Elsevier, Amsterdam, 2008. MR 2389643
Reference: [4] Kolář, I.: On the functorial prolongations of fiber bundles.Proceedings of AGMP 8, 2012.
Reference: [5] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer Verlag, 1993.
Reference: [6] Weil, A.: Théorie des points proches sur les variétées différentiables.Colloques internat. Centre nat. Rech. Sci. 52 (1953), 111–117.


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