Local embeddability of CR manifolds into spheres

초록

In this paper we solve local CR embeddability problem of smooth CR manifolds into spheres under a certain nondegeneracy condition on the Chern-Moser's curvature tensor. We state necessary and sufficient conditions for the existence of CR embeddings as finite number of equations and rank conditions on the Chern-Moser's curvature tensors and their derivatives. We also discuss the rigidity of those embeddings.

키워드