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- Title
Characteristic Laplacian in Sub-Riemannian Geometry.
- Authors
Daniel, Jeremy; Xiaonan Ma
- 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.
- Subjects
LAPLACIAN operator; RIEMANNIAN geometry; COHOMOLOGY theory; MANIFOLDS (Mathematics); HYPOELLIPTIC operators
- Publication
IMRN: International Mathematics Research Notices, 2015, Vol 2015, Issue 24, p13290
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnv104