Simple germs of corank one affine distributions
Geometric approach to Goursat flags
Local reduction theorems and invariants for singular contact structures
A differential 1-form on a -dimensional manifolds defines a singular contact structure if the set of points where the contact condition is not satisfied, , is nowhere dense in . Then is a hypersurface with singularities and the restriction of to can be defined. Our first theorem states that in the holomorphic, real-analytic, and smooth categories the germ of Pfaffian equation generated by is determined, up to a diffeomorphism, by its restriction to , if we eliminate certain degenerated singularities...
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