Classification of Pfaffian Systems

Azzouz Awane and Michel Goze
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Azzouz Awane: Université Hassan II, Faculté des Sciences
Michel Goze: Université de Haute Alsace, Faculté des Sciences et Techniques

Chapter Chapter 5 in Pfaffian Systems, k-Symplectic Systems, 2000, pp 99-142 from Springer

Abstract: Abstract We are going, in this chapter, to give all the local models, up to isomorphism, of Pfaffian systems of constant rank and class on ℝ n with 3 ≤ n ≤ 5. Let us point out some conventions and notations used in the preceding chapters. Let (S) be a Pfaffian system defined by the equations $$\left\{ \begin{gathered} {\omega _1} = 0 \hfill \\ \vdots \hfill \\ {\omega _r} = 0 \hfill \\ \end{gathered} \right. $$ .

Keywords: Vector Field; Local Coordinate System; Integral Manifold; Maximum Class; Constant Rank (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-9526-1_5

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DOI: 10.1007/978-94-015-9526-1_5

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