On the geometry of vertical Weil bundles
Archivum Mathematicum (2014)
- Volume: 050, Issue: 5, page 317-322
- ISSN: 0044-8753
Access Full Article
top
Abstract
topHow to cite
topKolář, Ivan. "On the geometry of vertical Weil bundles." Archivum Mathematicum 050.5 (2014): 317-322. <http://eudml.org/doc/262171>.
@article{Kolář2014,
abstract = {We describe some general geometric properties of the fiber product preserving bundle functors. Special attention is paid to the vertical Weil bundles. We discuss namely the flow natural maps and the functorial prolongation of connections.},
author = {Kolář, Ivan},
journal = {Archivum Mathematicum},
keywords = {Weil bundle; fiber product preserving bundle functor; flow natural map; weak principal connection; Weil bundle; fiber product preserving bundle functor; flow natural map; weak principal connection},
language = {eng},
number = {5},
pages = {317-322},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the geometry of vertical Weil bundles},
url = {http://eudml.org/doc/262171},
volume = {050},
year = {2014},
}
TY - JOUR
AU - Kolář, Ivan
TI - On the geometry of vertical Weil bundles
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 5
SP - 317
EP - 322
AB - We describe some general geometric properties of the fiber product preserving bundle functors. Special attention is paid to the vertical Weil bundles. We discuss namely the flow natural maps and the functorial prolongation of connections.
LA - eng
KW - Weil bundle; fiber product preserving bundle functor; flow natural map; weak principal connection; Weil bundle; fiber product preserving bundle functor; flow natural map; weak principal connection
UR - http://eudml.org/doc/262171
ER -
References
top- Cabras, A., Kolář, I., Prolongation of second order connections to vertical Weil bundles, Arch. Math. (Brno) 37 (2001), 333–347. (2001) Zbl1090.58003MR1879456
- Cabras, A., Kolář, I., On the functorial prolongations of principal bundles, Comment. Math. Univ. Carol. 47 (2006), 719–731. (2006) Zbl1150.58002MR2337425
- Čap, A., Slovák, J., 10.1090/surv/154/03, Mathematical Surveys and Monographs, vol. 154, AMS, Providence, USA, 2009. (2009) Zbl1183.53002MR2532439DOI10.1090/surv/154/03
- Kolář, I., On the geometry of fiber product preserving bundle functors, Differential Geometry and its Applications, Proceedings, Silesian University of Opava, 2002, pp. 63–72. (2002) MR1978765
- Kolář, I., Handbook of Global Analysis, ch. Weil Bundles as Generalized Jet Spaces, pp. 625–664, Elsevier, Amsterdam, 2008. (2008) MR2389643
- Kolář, I., Michor, P. W., Slovák, J., Natural Operations in Differential Geometry, Springer Verlag, 1993. (1993) MR1202431
- Kolář, I., Mikulski, W.M., 10.1016/S0926-2245(99)00022-4, Differential Geom. Appl. 11 (1999), 105–115. (1999) MR1712139DOI10.1016/S0926-2245(99)00022-4
- Mikulski, W.M., Fiber product preserving bundle functors as modified vertical Weil functors, 11pp., to appear in Czechoslovak Math. J.
- Weil, A., Théorie des points proches sur les variétes différentielles, Colloque de topol. et géom. diff., Strasbourg , 1953, pp. 111–117. (1953) MR0061455
NotesEmbed ?
topYou 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.