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math.CV2020★ 6 cited
On Levi flat hypersurfaces with transversely affine foliation
Masanori Adachi, Severine Biard
We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in compact Kahler surfaces.
math.CV2020★ 10 cited
Diederich-Fornaess and Steinness indices for abstract CR manifolds
Masanori Adachi, Jihun Yum
We propose the concept of Diederich--Fornæss and Steinness indices on compact pseudoconvex CR manifolds of hypersurface type in terms of the D'Angelo 1-form. When the CR manifold b…