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Nonexistence of Certain Levi Flat Hypersurfaces in Kähler Manifolds from the Viewpoint of Positive Normal Bundles

Nonexistence of Certain Levi Flat Hypersurfaces in Kähler Manifolds from the Viewpoint of Positive Normal Bundles

Combining the L^2 method of solving the \bar{\partial} -equation with a method of Brunella in the study of Levi at hypersurfaces as stable sets of holomorphic foliations, two nonexistence theorems are proved for Levi flat hypersurfaces extending a result of Brunella.