On symplectic classification of effective 3-forms and Monge-Ampère equations

Differential Geometry and its Application

Volumn 19, Issue 2, 2003, Pages 147-166

  Banos, Bertrand ^a  

^a UNIVERSITÉ D'ANGERS   (France)

Author keywords

Contact form; Effective forms; Jet space; Monge Amp re equations; Obstructions to integrability; Symplectic form

Indexed keywords

EID: 0041512953     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(03)00017-2     Document Type: Article

References (13)

1. Alekseevskii D.V. Vinogradov A.M. Lychagin V.V. Basic Ideas and Concepts of Differential Geometry Encyclopaedia of Mathematical Sciences, Vol. 28, Geometry I 1988 Springer-Verlag
2. Banos B. Nondegenerate Monge-Ampère structures in dimension 6 Lett. Math. Phys. 62 2002 1-15
3. Guillemin V. Sternberg S. An algebraic model of transitive differential geometry Bull. Amer. Math. Soc. 1 1964 269-307
4. Goldschmidt H. Integrability criteria for systems of non-linear partial differential equations J. Differential Geom. 1 1967 269-307
5. Harvey R. Lawson H.B. Calibrated geometry Acta. Math. 148 1982 47-157
6. Hitchin N. The geometry of three-forms in six, seven dimensions J. Differential Geom. 56 2001
7. Igusa J.I. A classification of spinors up to dimension Twelve Amer. Math. J. 92 1972 997-1028
8. Krasilschik I.S. Lychagin V.V. Vinogradov A.M. Geometry of Jet Spaces and Non-Linear Partial Differential Equations Adv. Stud. in Contemp. Math. 1986 Gordon and Breach Science Publishers
9. Lychagin V.V. Non-linear differential equations and contact geometry Uspeckhi Mat. Nauk. 34 1979 137-165 Russian; English transl. in: Russian Math. Surveys 34 (1979)
10. Lychagin V.V. Roubtsov V.N. Chekalov I.V. A classification of Monge-Ampère equations Ann. Sci. Ec. Norm. Sup. 26 1993 281-308
11. Lychagin V.V. Roubtsov V. On Sophus Lie theorems for Monge-Ampère equations Dokl. Bielorruss. Acad. Sci. 27 5 1983 396-398 in Russian
12. Lychagin V.V. Roubtsov V. Local classification of Monge-Ampère equations Soviet Math. Dokl. 28 2 1983 328-332
13. Popov V. Classification of spinors of dimension 14 Trans. Moscow Math. Soc. 1980 181-232