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math.DG2000
Contact systems and corank one involutive subdistributions
William Pasillas-Lepine, Witold Respondek
We give necessary and sufficient geometric conditions for a distribution (or a Pfaffian system) to be locally equivalent to the canonical contact system on Jn(R,Rm), the space of n…
math.DG1999
On the geometry of Goursat structures
William Pasillas-Lepine, Witold Respondek
A Goursat structure on a manifold of dimension n is a rank two distribution D such that dim D(i)=i+2, for i=0,...,n-2, where D(i) denotes the derived flag of D, which is defined by…