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arXiv · 0706.0878

On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds

Marcos Jardim·Rafael F. Leao
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Abstract

We use Dirac operator techniques to a establish sharp lower bound for the first eigenvalue of the Dolbeault Laplacian twisted by Hermitian-Einstein connections on vector bundles of negative degree over compact Kähler manifolds.

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Marcos Jardim, Rafael F. Leao. 2008-06-02. On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds. https://doi.org/10.1063/1.3133944

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