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arXiv · 0911.3451

Spectrum of the complex Laplacian on product domains

Debraj Chakrabarti
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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.

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Debraj Chakrabarti. 2010-04-02. Spectrum of the complex Laplacian on product domains. https://arxiv.org/abs/0911.3451

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