Legendre Curve and Reep Component

One has ωo the standard 1- form ,defined on R3 by ωo = xdy +dz ; it induces in a directed compact smooth surface S , the standard contact field of planes X . One has showed that X does not have a component of Reeb, it generalizes in a way the theorem of Bennequin which says that a simply related surface does not have a periodic orbit, this theorem had a great repercussion, in particular on the classification problem of the contact +. One can thus legitimately think that our result can bring one more in comprehension of this problem