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arXiv · 1406.5678

Deformations of Levi-flat structures in smooth manifolds

Paolo de Bartolomeis·Andrei Iordan
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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.

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Paolo de Bartolomeis, Andrei Iordan. 2014-06-22. Deformations of Levi-flat structures in smooth manifolds. https://doi.org/10.1142/s0219199713500156

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