28 citations · 103 across the 14 of their papers we have counts for
5 papers · 2 filters
On a global estimate of the Diederich--Fornaess index of Levi-flat real hypersurfaces
Masanori Adachi
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.…
A CR proof for a global estimate of the Diederich--Fornaess index of Levi-flat real hypersurfaces
Masanori Adachi
Yet another proof is given for a global estimate of the Diederich--Fornaess index of relatively compact domains with Levi-flat boundary, namely, the index must be smaller than or e…
Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes
Masanori Adachi, Judith Brinkschulte
We study curvature restrictions of Levi-flat real hypersurfaces in complex projective planes, whose existence is in question. We focus on its totally real Ricci curvature, the Ricc…
A local expression of the Diederich--Fornaess exponent and the exponent of conformal harmonic measures
Masanori Adachi
A local expression of the Diederich--Fornaess exponent of complements of Levi-flat real hypersurfaces is exhibited. This expression describes the correspondence between pseudoconve…
A global estimate for the Diederich--Fornaess index of weakly pseudoconvex domains
Masanori Adachi, Judith Brinkschulte
A uniform upper bound for the Diederich--Fornaess index is given for weakly pseudoconvex domains whose Levi-form of the boundary vanishes in -directions everywhere.