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arXiv · 1304.4808

Characteristic Laplacian in sub-Riemannian geometry

Jeremy Daniel·Xiaonan Ma
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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.

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Jeremy Daniel, Xiaonan Ma. 2013-04-17. Characteristic Laplacian in sub-Riemannian geometry. https://arxiv.org/abs/1304.4808

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