On the jets of foliation respecting maps
Miroslav Doupovec; Ivan Kolář; Włodzimierz M. Mikulski
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 4, page 951-960
- ISSN: 0011-4642
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topDoupovec, Miroslav, Kolář, Ivan, and Mikulski, Włodzimierz M.. "On the jets of foliation respecting maps." Czechoslovak Mathematical Journal 60.4 (2010): 951-960. <http://eudml.org/doc/197176>.
@article{Doupovec2010,
abstract = {Using Weil algebra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps.},
author = {Doupovec, Miroslav, Kolář, Ivan, Mikulski, Włodzimierz M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {foliation; leafwise $(k,r)$-jet; jet-like homomorphism; Weil bundle; foliation; leafwise -jet; jet-like homomorphism; Weil bundle},
language = {eng},
number = {4},
pages = {951-960},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the jets of foliation respecting maps},
url = {http://eudml.org/doc/197176},
volume = {60},
year = {2010},
}
TY - JOUR
AU - Doupovec, Miroslav
AU - Kolář, Ivan
AU - Mikulski, Włodzimierz M.
TI - On the jets of foliation respecting maps
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 951
EP - 960
AB - Using Weil algebra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps.
LA - eng
KW - foliation; leafwise $(k,r)$-jet; jet-like homomorphism; Weil bundle; foliation; leafwise -jet; jet-like homomorphism; Weil bundle
UR - http://eudml.org/doc/197176
ER -
References
top- Doupovec, M., Kolář, I., On the jets of fibered manifold morphisms, Cah. Topologie Géom. Différ. Catég. 40 (1999), 21-30. (1999) MR1682575
- Kolář, I., An abstract characterization of the jet spaces, Cah. Topologie Géom. Différ. Catég. 34 (1993), 121-125. (1993) MR1223655
- Kolář, I., Weil bundles as generalized jet spaces, In: Handbook of Global Analysis D. Krupka, D. Saunders Elsevier Amsterdam (2008), 625-664. (2008) MR2389643
- Kolář, I., Michor, P. W., Slovák, J., Natural Operations in Differential Geometry, Springer Berlin (1993). (1993) MR1202431
- Kolář, I., Mikulski, W. M., 10.1023/B:CMAJ.0000024538.28153.47, Czechoslovak Math. J. 53 (2003), 1017-1030. (2003) MR2018847DOI10.1023/B:CMAJ.0000024538.28153.47
- Mikulski, W. M., Product preserving bundle functors on fibered manifolds, Arch. Math. (Brno) 32 (1996), 307-316. (1996) Zbl0881.58002MR1441401
- Moerdijk, I., Mrčun, J., Introduction into Foliations and Lie Groupoids, Cambridge University Press Cambridge (2003). (2003) MR2012261
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