On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds

Details On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds

2007-06-06

arxiv.org/abs/0706.0878v2

Journal of Mathematical Physics 50 (2009), 063513

Mathematics

Differential Geometry

14 pages. Completely revised: estimates corrected and shown to be sharp

Scientific paper

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 K\"ahler
manifolds.

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