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Currently displaying 1 – 3 of 3

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Simple germs of corank one affine distributions

Michail Zhitomirskii; Witold Respondek — 1998

Banach Center Publications

Geometric approach to Goursat flags

Richard Montgomery; Michail Zhitomirskii — 2001

Annales de l'I.H.P. Analyse non linéaire

Local reduction theorems and invariants for singular contact structures

Bronislaw Jakubczyk; Michail Zhitomirskii — 2001

Annales de l’institut Fourier

A differential 1-form on a $(2 k + 1)$ -dimensional manifolds $M$ defines a singular contact structure if the set $S$ of points where the contact condition is not satisfied, $S = {p \in M : (ω \land {(d ω)}^{k} (p) = 0}$ , is nowhere dense in $M$ . Then $S$ is a hypersurface with singularities and the restriction of $ω$ to $S$ can be defined. Our first theorem states that in the holomorphic, real-analytic, and smooth categories the germ of Pfaffian equation $(ω)$ generated by $ω$ is determined, up to a diffeomorphism, by its restriction to $S$ , if we eliminate certain degenerated singularities...

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