Invariant subspaces in higher order jet prolongations of a fibred manifold
Miroslav Doupovec; Alexandr Vondra
Czechoslovak Mathematical Journal (2000)
- Volume: 50, Issue: 1, page 209-220
 - ISSN: 0011-4642
 
Access Full Article
topAbstract
topHow to cite
topDoupovec, Miroslav, and Vondra, Alexandr. "Invariant subspaces in higher order jet prolongations of a fibred manifold." Czechoslovak Mathematical Journal 50.1 (2000): 209-220. <http://eudml.org/doc/30555>.
@article{Doupovec2000,
	abstract = {We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.},
	author = {Doupovec, Miroslav, Vondra, Alexandr},
	journal = {Czechoslovak Mathematical Journal},
	keywords = {2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection; 2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection},
	language = {eng},
	number = {1},
	pages = {209-220},
	publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
	title = {Invariant subspaces in higher order jet prolongations of a fibred manifold},
	url = {http://eudml.org/doc/30555},
	volume = {50},
	year = {2000},
}
TY  - JOUR
AU  - Doupovec, Miroslav
AU  - Vondra, Alexandr
TI  - Invariant subspaces in higher order jet prolongations of a fibred manifold
JO  - Czechoslovak Mathematical Journal
PY  - 2000
PB  - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL  - 50
IS  - 1
SP  - 209
EP  - 220
AB  - We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.
LA  - eng
KW  - 2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection; 2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection
UR  - http://eudml.org/doc/30555
ER  - 
References
top- On certain natural transformations between connections, Proc. Conf. Diff. Geom. and Its Appl., Opava, 1992, Silesian University, Opava, 1993, pp. 273–279. (1993) MR1255548
 - Some natural operations between connections on fibered manifolds, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 39 (1996), 73–84. (1996) MR1396603
 - Natural relations between connections in -fibred manifolds, New Developments in Differential Geometry, Proceedings, Kluwer Academic Publishers, Dordrecht, 1996, pp. 113–130. (1996) MR1377278
 - Connections in 2-fibred manifolds, Arch. Math. (Brno) 17 (1981), 23–30. (1981)
 - Natural Operations in Differential Geometry, Springer Verlag, 1993. (1993) MR1202431
 - Lectures on differential invariants, Folia Fac. Sci. Natur. Univ. Purk. Brun. Phys., Brno, 1990. MR1108622
 - Fibred spaces, jet spaces and connections for field theories, Proceedings of International Meeting “Geometry and Physics”, Florence, 1982, Pitagora Editrice, Bologna, 1983, pp. 135–165. (1983) MR0760841
 - Connections and differential calculus on fibred manifolds. Aplications to field theory, Istituto di Matematica Applicata “G. Sansone", Firense, 1989, 1–147.
 - The Geometry of Jet Bundles, London Mathematical Society Lecture Note Series 142, Cambridge University Press, Cambridge, 1989. (1989) Zbl0665.58002MR0989588
 - Towards a geometry of higher-order partial differential equations represented by connections on fibered manifolds, Brno, 1995, 1–114.
 
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.