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On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds |
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| Authors: | Marcos Jardim Rafael F Leão |
| Institution: | a IMECC - UNICAMP, Departamento de Matemática, Caixa Postal 6065, 13083-970 Campinas-SP, Brazil b Departamento de Matemática, Universidade Federal do Paraná, Caixa Postal 019081, 81531-990 Curitiba-PR, Brazil |
| 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. |
| Keywords: | 58C40 32L07 58J50 |
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