Spectrum of the complex Laplacian on product domains
Complex Variables
2010-04-05 v2 Spectral Theory
Abstract
We show that the spectrum of the complex Laplacian on a product of hermitian manifolds is the Minkowski sum of the spectra of the complex Laplacians on the factors. We use this fact to show that the range of the d-bar operator on a product manifold is closed, provided it is closed in each factor.
Keywords
Cite
@article{arxiv.0911.3451,
title = {Spectrum of the complex Laplacian on product domains},
author = {Debraj Chakrabarti},
journal= {arXiv preprint arXiv:0911.3451},
year = {2010}
}
Comments
Minor typos fixed; to appear in the Proceedings of the AMS.