The Lefschetz theorem for CR manifolds and the nonexistence of real analytic Levi flat submanifolds
classification
🧮 math.DG
math.CV
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submanifoldsanalyticflatlevimanifoldsnonexistenceprovereal
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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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