Vafa-Witten bound on the complex projective space

Details Vafa-Witten bound on the complex projective space Vafa-Witten bound on the complex projective space

2005-09-02

arxiv.org/abs/math/0509034v1

Mathematics

Differential Geometry

6 pages

Scientific paper

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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