Positivity of the $\bar\partial$-Neumann Laplacian
Complex Variables
2010-06-23 v1 Spectral Theory
Abstract
We study the -Neumann Laplacian from spectral theoretic perspectives. In particular, we show how pseudoconvexity of a bounded domain is characterized by positivity of the -Neumann Laplacian.
Cite
@article{arxiv.1006.4167,
title = {Positivity of the $\bar\partial$-Neumann Laplacian},
author = {Siqi Fu},
journal= {arXiv preprint arXiv:1006.4167},
year = {2010}
}
Comments
Appeared in Complex Analysis: Several complex variables and connections with PDEs and geometry (Fribourg 2008), Trends in Math, 2010