Analytic discs attached to a generating CR-manifold

Abstract

Perturbations by analytic discs along generating CR-submanifolds of Cⁿ are considered. In the case all partial indices of a closed path p in a generating CR-fibration {M(ξ)}_ξ∈∂D are greater or equal to −1 we can completely parametrize all small holomorphic perturbations of the path p along the fibration {M(ξ)}_ξ∈∂D. In this case we also study the geometry of perturbations by analytic discs and their relation to the conormal bundle of the fibration.