paper

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

arXiv:1410.2693 · doi:10.2969/aspm/07210259

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.

7 pages. An expository paper to appear in Adv. Stud. Pure Math

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