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We will consider prolongations of the canonical systems on Jet spaces for multi independent variables. We will characterize appearances of singularities obtained from the prolongations.
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Czasopismo
Rocznik
Tom
Strony
473--486
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- Department of Mathematics Graduate School of Science Hokkaido University Sapporo 060-0810, Japan, shibuya@math.sci.hokudai.ac.jp
Bibliografia
- [1] J. Adachi, Global stability of special multi-flags, to appear in Israel J. Math.
- [2] R. Bryant, Some aspect of the local and global theory of Pfaffian systems, Thesis, University of North Carolina, Chapel Hill, 1979.
- [3] R. Bryant, S. Chern, R. Gardner, H. Goldschmidt, P. Griffiths, Exterior Differential Systems, MSRI Publ. vol. 18, Springer Verlag, Berlin 1991.
- [4] R. Bryant, L. Hsu, Rigidity of integral curves of rank 2 distributions, Invent. Math. 144 (1993), 435–461.
- [5] E. Cartan, Les systèmes de Pfaff à cinq variables et les équations aux derives partielles du second ordre, Ann. École Normale, 27 (1910), 109–192.
- [6] A. Giaro, A. Kumpera, C. Ruiz, Sur la lecture correcte d’un resultat d’Elie Cartan, C. R. Acad. Sci. Paris Sér. I Math. 287 (1978), 241–244.
- [7] A. Kumpera, J. L. Rubin, Multi-flag systems and ordinary differential equations, Nagoya Math. J. 166 (2002), 1–27.
- [8] R. Montgomery, M. Zhitomirskii, Geometric approach to Goursat flags, Ann. Inst. H. Poincaré Anal. Non Linéaire 18 (2001), 459–493.
- [9] P. Mormul, Goursat Flags: Classification of codimension-one singularities, J. Dynamical and Control Systems 6, 3 (2000), 311–330.
- [10] P. Mormul, Multi-dimensional Cartan prolongation and special k-flags, Banach Center Publ. 65 (2004), 157–178.
- [11] W. Pasillas-Lépine, W. Respondek, Contact systems and corank one involutive subdistributions, Acta Appl. Math. 69 (2001), 105–128.
- [12] K. Shibuya, On the prolongation of 2-jet space of 2 independent and 1 dependent variables, Hokkaido Math. J. 38 (2009), 587–626.
- [13] K. Shibuya, K. Yamaguchi, Drapeau theorem for differential systems, to appear in Differential Geom. Appl.
- [14] K. Yamaguchi, Contact geometry of higher order, Japan. J. Math 8 (1982), 109–176.
- [15] K. Yamaguchi, Geometrization of jet bundles, Hokkaido Math. J. 12 (1983), 27–40.
- [16] K. Yamaguchi, G2-geometry of overdetermined systems of second order, Trends in Mathematics (Analysis and Geometry in Several Complex Variables) (1999), Birkhäuser, Boston, 289–314.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0032-0012