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Infinitesimal CR automorphisms of rigid hypersurfaces. (English) Zbl 0826.32013
Connections between some local “finiteness types” of CR-manifolds (especially differentiable manifolds, which are foliated into complex submanifolds) are studied for some special cases: especially those concerning the finiteness of some local groups of CR-automorphisms (and corresponding vectorfields). The proofs consist of straight forward calculations.
Reviewer: K.Spallek (Bochum)

MSC:
32V40 Real submanifolds in complex manifolds
58A05 Differentiable manifolds, foundations
32C05 Real-analytic manifolds, real-analytic spaces
53B25 Local submanifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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