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math.DG2005
Vafa-Witten bound on the complex projective space
Hélène Davaux, Maung Min-Oo
We prove that the largest first eigenvalue of the Dirac operator among all hermitian metrics on the complex projective space of odd dimension , larger than the Fubini-Study metr…
math.DG2002
An optimal inequality between scalar curvature and spectrum of the Laplacian
Hélène Davaux
For a Riemannian closed spin manifold and under some topological assumption (non-zero -genus or enlargeability in the sense of Gromov-Lawson), we give an optimal upper bou…