The spectrum of the twisted Dirac operator on Kahler submanifolds of the comlex projective space

2011/01/25 by Ginoux, Nicolas, Habib, Georges
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1101.4830

Abstract

We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kahler submanifolds in Kahler manifolds carrying Kahlerian Killing spinors. We then compute the spectrum of the twisted Dirac operator of the canonical embedding \CP^d → \CPⁿ in order to test the sharpness of the upper bounds

Related

• The twisted Spin^c Dirac operator on K "ahler submanifolds of the\n complex projective space
• On eigenvalue estimates for the Dirac operator
• Quaternionic Killing Spinors
• Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds
• The spectrum of twisted Dirac operators on compact flat manifolds