Abstract
We prove that there are compact strictly pseudoconvex CR manifolds, embedded into some Euclidean space, that admit small deformations that are also embeddable but their embeddings cannot be chosen close to the original embedding.
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Both authors were partially supported by NSF grants.
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Catlin, D., Lempert, L. A note on the instability of embeddings of Cauchy-Riemann manifolds. J Geom Anal 2, 99–104 (1992). https://doi.org/10.1007/BF02921383
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DOI: https://doi.org/10.1007/BF02921383