Strongly pseudoconvex handlebodies

Details Strongly pseudoconvex handlebodies Strongly pseudoconvex handlebodies

2003-05-16

arxiv.org/abs/math/0305237v1

J. Korean Math. Soc. 40 (2003), 727-745

Mathematics

Complex Variables

6 figures

Scientific paper

We give an explicit construction of special strongly pseudoconvex domains in C^n of handlebody type, i.e., domains which are small tubes surrounding the union of a quadratic strongly pseudoconvex domain with an attached totally real handle. Among other results, we give another proof of Lemma 3.4.3. from the paper of Y. Eliashberg, "Topological characterization of Stein manifolds of dimension $>2$", Internat. J. Math., 1 (1990), 29--46.

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