Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

On the nonexistence of CR functions on Levi-flat CR manifolds.

Takashi Inaba — 1992

Collectanea Mathematica

We show that no compact Levi-flat CR manifold of CR codimension one admits a continuous CR function which is nonconstant along leaves of the Levi foliation. We also prove the nonexistence of certain CR functions on a neighborhood of a compact leaf of some Levi-flat CR 3-manifolds, and apply it to showing that some foliated 3-manifolds cannot be embedded as smooth Levi-flat real hypersurfaces in complex surfaces.

Transverse Hausdorff dimension of codim-1 C2-foliations

Takashi Inaba;  Paweł Walczak — 1996

Fundamenta Mathematicae

The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation ℱ is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when ℱ is non-minimal, and to be equal to zero when ℱ is minimal with non-trivial leaf holonomy.

Page 1

Download Results (CSV)