Holomorphic Extension from Weakly Pseudoconcave CR Manifolds

  title={Holomorphic Extension from Weakly Pseudoconcave CR Manifolds},
  author={Andrea Altomani and andrea. altomani}
  • Andrea Altomani, andrea. altomani
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… CONTINUE READING