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On CR embeddings of strictly pseudoconvex hypersurfaces into spheres in low dimensions

On CR embeddings of strictly pseudoconvex hypersurfaces into spheres in low dimensions

It follows from the 2004 work of the first author, X.Huang, and D. Zaitsev that any local CR embedding $f$ of a strictly pseudoconvex hypersurface $M^{2n+1}\subset \mathbb {C}^{n+1}$ into the sphere $\mathbb {S}^{2N+1}\subset \mathbb {C}^{N+1}$ is rigid, i.e. any other such local embedding is obtained from $f$ by composition with …