Deformations of Levi-flat structures in smooth manifolds
Complex Variables
2014-06-24 v1
Abstract
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 structures, this cohomology group is the product of the d-bar cohomology group of order 1 of tangent vector fields to the Levi structure and the cohomology group of order 1 of the associated DGLA.
Cite
@article{arxiv.1406.5678,
title = {Deformations of Levi-flat structures in smooth manifolds},
author = {Paolo de Bartolomeis and Andrei Iordan},
journal= {arXiv preprint arXiv:1406.5678},
year = {2014}
}
Comments
37 pages