arXiv Analytics

Sign in

arXiv:math/0509034 [math.DG]AbstractReferencesReviewsResources

Vafa-Witten bound on the complex projective space

Hélène Davaux, Maung Min-Oo

Published 2005-09-02Version 1

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 $(2m(m+1))^{1/2}$.

Comments: 6 pages
Categories: math.DG
Subjects: 53C27, 58J50, 58J60
Related articles: Most relevant | Search more
arXiv:math/0407530 [math.DG] (Published 2004-07-30, updated 2004-11-29)
Extremality for the Vafa-Witten bound on the sphere
arXiv:1108.1602 [math.DG] (Published 2011-08-08)
Zero-Energy Fields on Complex Projective Space
arXiv:1207.2642 [math.DG] (Published 2012-07-11)
The twisted Spin$^c$ Dirac operator on Kähler submanifolds of the complex projective space

Links

Toolbox