Vafa-Witten bound on the complex projective space |
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| Authors: | Hélène Davaux Maung Min-Oo |
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| Institution: | (1) Laboratoire UMPA, 46 allée d’Italie, 69364 Lyon, France;(2) Department of Mathematics and Statistics, McMaster University, Hamilton, L8S 4K1, Ontario, Canada |
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| Abstract: | We prove that the largest first eigenvalue of the Dirac operator among all Hermitian metrics on the complex projective space of odd dimension m, larger than the Fubini-Study metric is bounded by (2m(m+1))1/2.
Mathematics Subject Classification (2000): 53C27, 58J50, 58J60. |
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| Keywords: | Dirac operator eigenvalue estimate complex projective space |
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