Analytic discs attached to a generating CR-manifold |
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Authors: | Miran Černe |
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Affiliation: | (1) Department of Mathematics, University of Ljubljana, Jadranska 19, 61 111 Ljubljana, Slovenia |
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Abstract: | Perturbations by analytic discs along generating CR-submanifolds of Cn are considered. In the case all partial indices of a closed pathp 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 pathp 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. |
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