On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds

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.

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

References in corpus (3)

• The First Eigenvalue of the Dirac Operator on Quaternionic Kaehler Manifolds
• Survey on eigenvalues of the Dirac operator and geometric structures
• Curvature dependent lower bounds for the first eigenvalue of the Dirac operator

Cited by in corpus (2)

• A note on twisted Dirac operators on closed surfaces
• On the space of connections having non-trivial twisted harmonic spinors