Mathematics – Complex Variables
Scientific paper
2009-03-30
Rend. Semin. Mat. Univ. Padova 123 (2010), 69-90
Mathematics
Complex Variables
Scientific paper
Let M be a smooth locally embeddable CR manifold, having some CR dimension m and some CR codimension d. We find an improved local geometric condition on M which guarantees, at a point p on M, that germs of CR distributions are smooth functions, and have extensions to germs of holomorphic functions on a full ambient neighborhood of p. Our condition is a form of weak pseudoconcavity, closely related to essential pseudoconcavity as introduced in [HN1]. Applications are made to CR meromorphic functions and mappings. Explicit examples are given which satisfy our new condition,but which are not pseudoconcave in the strong sense. These results demonstrate that for codimension d > 1, there are additional phenomena which are invisible when d = 1.
Altomani Andrea
Hill Charles D.
Nacinovich Mauro
Porten Egmont
No associations
LandOfFree
Holomorphic Extension from Weakly Pseudoconcave CR Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Holomorphic Extension from Weakly Pseudoconcave CR Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holomorphic Extension from Weakly Pseudoconcave CR Manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-19705