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
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 $q\geq 1$.
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
Keywords: complex projective space; Dirac operator; spectral theory
@article{CMUC_2008_49_3_a5,
author = {Halima, Majdi Ben},
title = {Spectrum of twisted {Dirac} operators on the complex projective space $\Bbb P^{2q+1}(\Bbb C)$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {437--445},
year = {2008},
volume = {49},
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mrnumber = {2490438},
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language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2008_49_3_a5/}
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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/