Some global results on extension of CR-objects in complex manifolds

Lupacciolu, Guido

doi:10.1090/S0002-9947-1990-0979962-8

Some global results on extension of CR-objects in complex manifolds
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Trans. Amer. Math. Soc. 321 (1990), 761-774 Request permission

Abstract:

We prove some results concerning the holomorphic extendability of CR-objects defined on real hypersurfaces of a complex manifold. After a preliminary generalization of the classic theorem on the extendability from the boundary of a relatively compact domain, we discuss the extendability from a part of the boundary of such a domain, the one side extendability from a piece of hypersurface and the extendability from the boundary of an unbounded domain.

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