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Vafa-Witten bound on the complex projective space

Hélène Davaux·Maung Min-Oo
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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 $(2m(m+1))^{1/2}$.

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Hélène Davaux, Maung Min-Oo. 2005-09-02. Vafa-Witten bound on the complex projective space. https://arxiv.org/abs/math/0509034

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