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arXiv · 1410.2693

On a global estimate of the Diederich--Fornaess index of Levi-flat real hypersurfaces

Masanori Adachi
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Abstract

In this expository paper, we review a recent progress of the study of the Diederich--Fornaess index of complex domains with emphasis on the case of domains with Levi-flat boundary. It is exhibited that for any compact Levi-flat real hypersurface, the norm of its infinitesimal holonomy must exceed the curvature of its normal bundle at a point.

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Masanori Adachi. 2014-10-10. On a global estimate of the Diederich--Fornaess index of Levi-flat real hypersurfaces. https://doi.org/10.2969/aspm%2F07210259

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