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The topology of Stein CR manifolds and the Lefschetz theorem. (English) Zbl 0782.32015

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

MSC:

32V40 Real submanifolds in complex manifolds
32V99 CR manifolds
32E10 Stein spaces
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References:

[1] [1] and , The Lefschetz theorem on hyperplane sections, Ann. Math., 69 (1959), 713-717. · Zbl 0115.38405
[2] [2] and , A necessary condition for global Stein immersion of compact CR manifolds, to appear in Riv. Mat. Parma. · Zbl 0787.32020
[3] [3] , An Introduction to Complex Analysis in Several Complex Variables, Van Nostrand, Princeton, 1966. · Zbl 0138.06203
[4] [4] , Morse Theory, Ann. Math. Studies, Princeton, 51 (1963). · Zbl 0108.10401
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