Characteristic Laplacian in Sub-Riemannian Geometry.

Autor: Daniel, Jeremy, Xiaonan Ma
Předmět:
Zdroj: IMRN: International Mathematics Research Notices; 2015, Vol. 2015 Issue 24, p13290-13323, 34p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index