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The Lefschetz theorem for CR manifolds and the nonexistence of real analytic Levi flat submanifolds

Lei Ni, Jon Wolfson

math.DGarXiv:math/0302081

Abstract

We prove the Lefchetz theorem for CR submanifolds in Hermitian symmetric spaces. As an application we prove the nonexistence of real analytic Levi flat submanifolds in such manifolds.

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