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

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

2008-10-23

arxiv.org/abs/0810.4259v1

Mathematics

Differential Geometry

9 pages

Scientific paper

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 K\"ahler manifolds.

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