Characteristic Laplacian in sub-Riemannian geometry
Differential Geometry
2013-04-18 v1
Abstract
We study a Laplacian operator related to the characteristic cohomology of a smooth manifold endowed with a distribution. We prove that this Laplacian does not behave very well: it is not hypoelliptic in general and does not respect the bigrading on forms in a complex setting. We also discuss the consequences of these negative results for a conjecture of P. Griffiths, concerning the characteristic cohomology of period domains.
Keywords
Cite
@article{arxiv.1304.4808,
title = {Characteristic Laplacian in sub-Riemannian geometry},
author = {Jeremy Daniel and Xiaonan Ma},
journal= {arXiv preprint arXiv:1304.4808},
year = {2013}
}