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Infinitesimal CR automorphisms of hypersurfaces of finite type in \({\mathbb {C}}^2\). (English) Zbl 1265.32023
Summary: We study the Chern-Moser operator for hypersurfaces of finite type in \(\mathbb {C}^2\). Analysing its kernel we derive explicit results on jet determination for the stability group and give a description of infinitesimal CR automorphisms of such manifolds.

MSC:
32V35 Finite-type conditions on CR manifolds
32V40 Real submanifolds in complex manifolds
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