The topology of Stein CR manifolds and the Lefschetz theorem

C. Denson Hill; Mauro Nacinovich

Annales de l'institut Fourier (1993)

  • Volume: 43, Issue: 2, page 459-468
  • ISSN: 0373-0956

Abstract

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Necessary topological conditions are given for the closed CR embedding of a CR manifold into a Stein manifold or into a complex projective space.

How to cite

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Hill, C. Denson, and Nacinovich, Mauro. "The topology of Stein CR manifolds and the Lefschetz theorem." Annales de l'institut Fourier 43.2 (1993): 459-468. <http://eudml.org/doc/75004>.

@article{Hill1993,
abstract = {Necessary topological conditions are given for the closed CR embedding of a CR manifold into a Stein manifold or into a complex projective space.},
author = {Hill, C. Denson, Nacinovich, Mauro},
journal = {Annales de l'institut Fourier},
keywords = {closed CR embedding; CR manifold; Stein manifold; complex projective space},
language = {eng},
number = {2},
pages = {459-468},
publisher = {Association des Annales de l'Institut Fourier},
title = {The topology of Stein CR manifolds and the Lefschetz theorem},
url = {http://eudml.org/doc/75004},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Hill, C. Denson
AU - Nacinovich, Mauro
TI - The topology of Stein CR manifolds and the Lefschetz theorem
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 2
SP - 459
EP - 468
AB - Necessary topological conditions are given for the closed CR embedding of a CR manifold into a Stein manifold or into a complex projective space.
LA - eng
KW - closed CR embedding; CR manifold; Stein manifold; complex projective space
UR - http://eudml.org/doc/75004
ER -

References

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  1. [1] A. ANDREOTTI and T. FRANKEL, The Lefschetz theorem on hyperplane sections, Ann. Math., 69 (1959), 713-717. Zbl0115.38405MR31 #1685
  2. [2] C.D. HILL and M. NACINOVICH, A necessary condition for global Stein immersion of compact CR manifolds, to appear in Riv. Mat. Parma. Zbl0787.32020
  3. [3] L. HÖRMANDER, An Introduction to Complex Analysis in Several Complex Variables, Van Nostrand, Princeton, 1966. Zbl0138.06203
  4. [4] J. MILNOR, Morse Theory, Ann. Math. Studies, Princeton, 51 (1963). Zbl0108.10401

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