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Pré-Publication, Document De Travail Année : 2013

Characteristic Laplacian in sub-Riemannian geometry

Résumé

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.

Dates et versions

hal-00872362 , version 1 (11-10-2013)

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Jeremy Daniel, Xiaonan Ma. Characteristic Laplacian in sub-Riemannian geometry. 2013. ⟨hal-00872362⟩
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