Boundaries of Complex Manifolds

J. J. Kohn
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J. J. Kohn: Brandeis University, Department of Mathematics

A chapter in Proceedings of the Conference on Complex Analysis, 1965, pp 81-94 from Springer

Abstract: Abstract If M is a component of the boundary of a complex n-dimensional manifold X, then M has real dimension 2n - 1 and at each point x ∈ M the complexified tangent space T x has a distinguished (n - 1)-dimensional subspace S x which is the intersection of T x with the holomorphic vectors at x. Thus, vector fields with values in S̄ x are the “tangential” Cauchy-Biemann operators.

Keywords: Holomorphic Mapping; Complex Manifold; Cohomology Class; Singular Integral Operator; Levi Form (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-642-48016-4_9

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