Almost quarter-pinched Kähler metrics and Chern numbers
Résumé
We prove that compact Kähler manifolds whose sectional curvatures are close to 1/4-pinched have ratios of Chern numbers close to the corresponding ratios of a complex hyperbolic space form. We deduce that the Mostow-Siu surfaces (and their three-dimensional analogues constructed by the first author) do not admit Kähler metrics with pinching close to 1/4.
Origine | Fichiers produits par l'(les) auteur(s) |
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