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

2008/10/23 by Jardim, Marcos, Leão, Rafael F.
#32L07 #58C40 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.4259

Abstract

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.

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