paper

A local expression of the Diederich--Fornaess exponent and the exponent of conformal harmonic measures

arXiv:1403.3179 · doi:10.1007/s00574-015-0084-z

Abstract

A local expression of the Diederich--Fornaess exponent of complements of Levi-flat real hypersurfaces is exhibited. This expression describes the correspondence between pseudoconvexity of their complements and positivity of their normal bundles, which was suggested in a work of Brunella, in a quantitative way. As an application, a connection between the Diederich--Fornaess exponent and the exponent of conformal harmonic measures is discussed.

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