Previous |  Up |  Next

Article

Keywords:
jet near point contact element Weil bundle fundamental identification; near point; contact element; Weil bundle; fundamental identification
References:
[Ric:96] R. J. Alonso Blanco: D-modules, contact valued calculus and Poincaré-Cartan form. Submitted for publication.
[Ehr:51] C. Ehresmann: Les prolongements d’une varieté différentiable. I: Calcul del jets, prolongement principal; II: L’espace des jets d’ordre $r$ de $V_n$ dans $V_m$. C. R. Acad. Sci. Paris 233 (1951), 598–600, 777–779.
[Gol:67:2] H. Goldschmidt: Integrability criteria for systems of non-linear partial differential equations. J. Differential Geom. 1 (1967), 269–307. DOI 10.4310/jdg/1214428094 | MR 0226156
[Gri:Kru:97] D. R. Grigore and D. Krupka: Invariants of velocities, and higher order Grassmann bundles. J. Geom. Phys 24 (1998), 244–264. DOI 10.1016/S0393-0440(97)00012-0 | MR 1491556
[Jac:62] N. Jacobson: Lie Algebras. John Wiley & Sons, Inc., New York, 1962. MR 0143793 | Zbl 0121.27504
[Kol:96] I. Kolář: An infinite dimensional motivation in higher order geometry. Proc. Conf. Aug. 28–Sep. 1 1995, Brno, Czech Republic, 1996, pp. 151–159. MR 1406335
[KMS:93] I. Kolář, P. W. Michor and J. Slovák: Natural Operations in Differential Geometry. Springer-Verlag, New York, 1993. MR 1202431
[Kur:69] M. Kuranishi: Lectures on Involutive Systems. Publicações Soc. Math., São Paulo, 1969.
[Lie:70] S. Lie: Theorie der Transformationsgruppen. Chelsea Publishing, New York, 1970. Zbl 0248.22009
[Mor:76] A. Morimoto: Prolongation of connections to bundles of infinitely near points. J. Differential Geom. 11 (1976), 479–498. DOI 10.4310/jdg/1214433720 | MR 0445422 | Zbl 0358.53013
[MMR:97] J. Muñoz, F. J. Muriel and J. Rodríguez: Integrability of lie equations and pseudogroups. (to appear). MR 1797843
[Shu:93] V. V. Shurygin: Manifolds over algebras and their application to the geometry of jet bundles. Russian Math. Surveys 48 (1993), 75–104. DOI 10.1070/RM1993v048n02ABEH001013 | MR 1239861 | Zbl 0804.53041
[Wei:53] A. Weil: Théorie des points proches sur les variétés différentiables. Colloque de Géometrie Différentielle, C.N.R.S. (1953), 111–117. MR 0061455 | Zbl 0053.24903
Partner of
EuDML logo