A Remark on the Kernel of the CR Paneitz operator
Differential Geometry
2015-02-09 v1 Complex Variables
Abstract
For CR structures in dimension three, the CR pluriharmonic functions are characterized by the vanishing of a third order operator. This third order operator, after composition with the divergence operator, gives the fourth order analogue of the Paneitz operator. In this short note, we give criteria under which the kernel of the CR Paneitz operator contains a supplementary space to the CR pluriharmonic functions.
Cite
@article{arxiv.1502.01992,
title = {A Remark on the Kernel of the CR Paneitz operator},
author = {Jeffrey S. Case and Sagun Chanillo and Paul Yang},
journal= {arXiv preprint arXiv:1502.01992},
year = {2015}
}
Comments
6 pages