On the spectrum of the twisted Dolbeault Laplacian on line bundles over Kähler manifolds

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We use Dirac operator techniques to establish a sharp lower bound for the first eigenvalue of the twisted Dolbeault Laplacian on holomorphic line bundles over compact Kähler manifolds.
9 pages

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Differential Geometry, 58C40; 32L07; 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/172268

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4259
 http://arxiv.org/abs/0810.4259

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arXiv