Page 1

Displaying 1 – 4 of 4

Showing per page

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 M : ( ω ( 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...

Currently displaying 1 – 4 of 4

Page 1