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arxiv: math/0608300 · v1 · pith:O6V5SQSJnew · submitted 2006-08-12 · 🧮 math.CV · math.DG

On different notions of homogeneity for CR-manifolds

classification 🧮 math.CV math.DG
keywords cr-manifoldshomogeneitylocalnotionsactioncr-automorphismscr-equivalentcr-manifold
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We show that various notions of local homogeneity for CR-manifolds are equivalent. In particular, if germs at any two points of a CR-manifold are CR-equivalent, there exists a transitive local Lie group action by CR-automorphisms near every point.

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