Doupovec, Miroslav; Kolář, Ivan; Mikulski, Włodzimierz M. On the jets of foliation respecting maps. (English) Zbl 1224.58002 Czech. Math. J. 60, No. 4, 951-960 (2010). Summary: Using Weil algebra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps. Cited in 1 Document MSC: 58A20 Jets in global analysis 53C12 Foliations (differential geometric aspects) Keywords:foliation; leafwise \((k,r)\)-jet; jet-like homomorphism; Weil bundle × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link References: [1] M. Doupovec and I. Kolář: On the jets of fibered manifold morphisms. Cah. Topologie Géom. Différ. Catég. 40 (1999), 21–30. · Zbl 0935.58002 [2] I. Kolář: An abstract characterization of the jet spaces. Cah. Topologie Géom. Différ. Catég. 34 (1993), 121–125. [3] I. Kolář: Weil bundles as generalized jet spaces. In: Handbook of Global Analysis (D. Krupka, D. Saunders, eds.). Elsevier, Amsterdam, 2008, pp. 625–664. · Zbl 1236.58010 [4] I. Kolář, P. W. Michor and J. Slovák: Natural Operations in Differential Geometry. Springer, Berlin, 1993. · Zbl 0782.53013 [5] I. Kolář and W. M. Mikulski: Contact elements on fibered manifolds. Czechoslovak Math. J. 53 (2003), 1017–1030. · Zbl 1080.58002 · doi:10.1023/B:CMAJ.0000024538.28153.47 [6] W. M. Mikulski: Product preserving bundle functors on fibered manifolds. Arch. Math. (Brno) 32 (1996), 307–316. · Zbl 0881.58002 [7] I. Moerdijk and J. Mrčun: Introduction into Foliations and Lie Groupoids. Cambridge University Press, Cambridge, 2003. · Zbl 1029.58012 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.