2 citations · 4 across the 2 of their papers we have counts for
4 papers
Maurer-Cartan equation in the DGLA of graded derivations
Paolo de Bartolomeis, Andrei Iordan
Let M be a smooth manifold and a differential 1-form on M with values in the tangent bundle TM. We construct canonical solutions of Maurer-Cartan equation in the DGLA of…
Deformations of Levi flat hypersurfaces in complex manifolds
Paolo de Bartolomeis, Andrei Iordan
We first give a deformation theory of integrable distributions of codimension 1. We define a parametrization of families of smooth hypersurfaces near a Levi flat hypersurface L suc…
Deformations of Levi-flat structures in smooth manifolds
Paolo de Bartolomeis, Andrei Iordan
We define a complex whose cohomology group of order 1 contains the infinitesimal deformations of a Levi flat structure on a smooth manifold. In the case of real analytic Levi flat…
Non existence of Levi flat hypersurfaces with positive normal bundle in compact Kähler manifolds of dimension at least 3
Séverine Biard, Andrei Iordan
We prove that the normal bundle to the Levi foliation of a smooth Levi flat hypersurface does not admit a Hermitian metric with positive curvature along the leaves in compact Kähle…