PARABOLIC GEOMETRIES ASSOCIATED WITH DIFFERENTIAL EQUATIONS OF FINITE TYPE

Yamaguchi, Keizo; Yatsui, Tomoaki

Hokkaido University Preprint Series in Mathematics, 2005, 756, 1-41

Permalink : https://doi.org/10.14943/83906

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DOI	https://doi.org/10.14943/83906
URI	https://hdl.handle.net/2115/69564
タイトル	PARABOLIC GEOMETRIES ASSOCIATED WITH DIFFERENTIAL EQUATIONS OF FINITE TYPE
著者	著者名 Yamaguchi, Keizo
著者	著者名 Yatsui, Tomoaki
言語	英語
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	756
ページ	1-41
抄録	We present here classes of parabolic geometries arising naturally from Seashi’s principle to form good classes of linear differential equations of finite type, which generalize the cases of second and third order ODE for scalar function. We will explicitly describe the symbols of these differential equations. The model equations of these classes admit nonlinear contact transformations and their symmetry algebras (the Lie algebra of infinitesimal contact transformations preserving these equations) become finite dimensional and simple.
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出版タイプ	Version of Record