Geodesic
Spectrum of twisted Dirac operators on the complex projective space $\Bbb P^{2q+1}(\Bbb C)$
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 3, pp. 437-445.

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In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sections of twisted spinor bundles over the complex projective space $\Bbb P^{2q+1}(\Bbb C)$ for $q\geq 1$.
Classification : 53C27, 53C35, 58C40, 58J50
Keywords: complex projective space; Dirac operator; spectral theory 
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     title = {Spectrum of twisted {Dirac} operators on the complex projective space $\Bbb P^{2q+1}(\Bbb C)$},
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Halima, Majdi Ben. Spectrum of twisted Dirac operators on the complex projective space $\Bbb P^{2q+1}(\Bbb C)$. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 3, pp. 437-445. http://geodesic.mathdoc.fr/item/CMUC_2008__49_3_a5/