Strongly pseudoconvex handlebodies

2003/05/16 by Franc Forstneric, Jernej Kozak
Mathematics · #math.CV #msc:32A07 #msc:32T15

paper · pdf

published as J. Korean Math. Soc. 40 (2003), 727-745 · 6 figures

arxiv created 2003/05/16 · arxiv updated 2009/11/30

Abstract

We give an explicit construction of special strongly pseudoconvex domains in Cⁿ 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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