Geometry of Linear Differential Systems Towards Contact Geometry of Second Order
Identifieur interne : 000852 ( Main/Exploration ); précédent : 000851; suivant : 000853Geometry of Linear Differential Systems Towards Contact Geometry of Second Order
Auteurs : Keizo Yamaguchi [Japon]Source :
- The IMA Volumes in Mathematics and its Applications [ 0940-6573 ] ; 2008.
Abstract
Abstract: This is a lecture note on the geometry of linear differential systems. By a (linear) differential system (or Pfaffian system) (M, D), we mean a subbundle D of the tangent bundle T(M) of a manifold M. Locally D is defined by 1-forms w 1,...,w s such that w 1Λ⋯Λw s ≠0 at each point , where r is the rank of D and r + s = dim M; $$ D = \{ \omega _1 = \cdots = \omega _s = 0\} . $$
Url:
DOI: 10.1007/978-0-387-73831-4_8
Affiliations:
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