Third order ordinary differential equations and legendre connections

Journal of the Mathematical Society of Japan

Volumn 50, Issue 4, 1998, Pages 993-1013

  Sato, Hajime ^a   Yoshikawa, Atsuko Yamada ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84929955101     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/05040993     Document Type: Article

References (9)

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4. R. B. Gardner, The method of equivalence and its applications, the Society for Industrial and Applied Math. Philadelphia Pennsylvania (1989).
5. C. Grissom, G. Thompson, G. Wilkens, Linearization of second order, ordinary differential equations via Cartan’s equivalence method, J. of Diff. Equations, 77.(1989) 1-15.
6. H. Sato and A. Y. Yoshikawa, Projective contact structures on three-dimensional manifolds, preprint.
7. N. Tanaka, On differential systems, graded Lie algebras and pseudo-groups, J. Math. Kyoto Univ.10, (1970) 1-82.
8. N. Tanaka, On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections, Japan J. Math. 2, (1976) 131-190.
9. K. Yamaguchi, Differential systems associated with simple graded Lie algebras, Advanced Studies in Pure Math. Progress in Differential Geometry, 22, (1993) 413-494.