Previous |  Up |  Next

Article

Keywords:
foliation; leafwise $(k,r)$-jet; jet-like homomorphism; Weil bundle
Summary:
Using Weil algebra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps.
References:
[1] Doupovec, M., Kolář, I.: On the jets of fibered manifold morphisms. Cah. Topologie Géom. Différ. Catég. 40 (1999), 21-30. MR 1682575
[2] Kolář, I.: An abstract characterization of the jet spaces. Cah. Topologie Géom. Différ. Catég. 34 (1993), 121-125. MR 1223655
[3] Kolář, I.: Weil bundles as generalized jet spaces. In: Handbook of Global Analysis D. Krupka, D. Saunders Elsevier Amsterdam (2008), 625-664. MR 2389643
[4] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry. Springer Berlin (1993). MR 1202431
[5] Kolář, I., Mikulski, W. M.: Contact elements on fibered manifolds. Czechoslovak Math. J. 53 (2003), 1017-1030. DOI 10.1023/B:CMAJ.0000024538.28153.47 | MR 2018847
[6] Mikulski, W. M.: Product preserving bundle functors on fibered manifolds. Arch. Math. (Brno) 32 (1996), 307-316. MR 1441401 | Zbl 0881.58002
[7] Moerdijk, I., Mrčun, J.: Introduction into Foliations and Lie Groupoids. Cambridge University Press Cambridge (2003). MR 2012261
Partner of
EuDML logo