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STRONGLY PSEUDOCONVEX HANDLEBODIES

  • Forstneric, Frang (Institute of Mathematics, Physics and Mechanics University of Ljubljana) ;
  • Kozak, Jernej (Institute of Mathematics, Physics and Mechanics University of Ljubljana)
  • Published : 2003.07.01

Abstract

We construct strongly pseudoconvex handlebodies in $C^{n}$ whose center is a quadratic strongly pseudoconvex domain with an attached flat Lagrangian disc or plane.

Keywords

References

  1. (Russian) Dokl. Akad. Nauk SSSR v.259 Analytic continuation of CR-functions across the 'edge of the wedge' R.A.Airapetjan;G.M.Henkin
  2. Duke Math. J. v.32 Differentiable manifolds in complex Euclidean space E.Bishop https://doi.org/10.1215/S0012-7094-65-03201-1
  3. Ph, D. Dissertation Lower-dimensional Complex Manifolds in Several Complex Variables B.Boonstra
  4. Internat. J. Math. v.1 Topological characterization of Stein manifolds of dimension > 2 Y.Eliashberg https://doi.org/10.1142/S0129167X90000034
  5. Math. Ann. v.227 Polydiscs in complex manifolds J.E.Fornaess;E.L.Stout https://doi.org/10.1007/BF01350191
  6. Amer. J. Math. v.99 Spreading polydiscs on complex manifolds J.E.Forness https://doi.org/10.2307/2373992
  7. Acta Math. Noncritical holomorphic functions on Stein manifolds F.Forstneric
  8. Math. Ann. v.317 Oka's principle for holomorphic fiber bundles with sprays F.Forstneric;J.Prezelj https://doi.org/10.1007/s002080050361
  9. Ann. of Math. v.148 Handlebody construction of Stein surfaces R.E.Gompf https://doi.org/10.2307/121005
  10. Amer. Math. Soc. 4-manifolds and Kirby Calculus R.E.Gompf;A.I.Stipsicz
  11. J. Amer. Math. Soc. v.2 Oka's principle for holomorphic sections of elliptic bundles M.Gromov https://doi.org/10.2307/1990897
  12. Math. Ann. v.201 Zero sets of non-negative strictly plurisubharmonic functions F.R.Harvey;R.O.Wells,Jr. https://doi.org/10.1007/BF01359794
  13. Math. Ann. v.311 The Oka-Grauert principle without induction over the basis dimension G.M.Henkin;J.Leiterer https://doi.org/10.1007/s002080050177
  14. Math. Scand. v.23 Uniform approximations on compact sets in Cⁿ L.Hormander;J.Wermer https://doi.org/10.7146/math.scand.a-10893
  15. Michigan Math. J. v.45 A counterexample related to Hartogs' phenomenon(a question by E. Chirka) J.P.Rosay https://doi.org/10.1307/mmj/1030132298
  16. (Russian) Mat. Zametki;transl. in Math. Notes v.50;50 Polynomial convexity of some sets in Cⁿ M.M.Smirnov;E.M.Chirka
  17. Acta Math. v.115 Uniform approximation on smooth curves G.Stolzenberg https://doi.org/10.1007/BF01157703
  18. G. Stolzenberg, Uniform approximation on smooth curves, Acta Math. 115 (1966), 185-198. https://doi.org/10.1007/BF02392207

Cited by

  1. Stein structures and holomorphic mappings vol.256, pp.3, 2007, https://doi.org/10.1007/s00209-006-0093-0