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Judith Brinkschulte

Nonexistence of higher codimensional Levi-flat CR manifolds in symmetric spaces

We show the following theorem: Let X be an irreducible compact Hermitian symmetric manifold of complex dimension n whose bisectional curvature is (s − 1)-nondegenerate. Then in X there exists no smooth Levi-flat CR manifold M with real co-dimension n – s and CR dimension s ≧ 2, such that the determinant ℂ-line bundle of is smoothly trivial.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2007, 03/2007
Pages: 215 - 233

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