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Bounding λ2 for Kähler-Einstein metrics with large symmetry groups

par Hall, Stuart James;Murphy, Thomas
Référence Annals of global analysis and geometry, 46, 2, page (145-158)
Publication Publié, 2014

Article révisé par les pairs

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Résumé :

We calculate an upper bound for the second non-zero eigenvalue of the scalar Laplacian, λ2, for toric-Kähler-Einstein metrics in terms of the polytope data. We also give a similar upper bound for Koiso-Sakane type Kähler-Einstein metrics. We provide some detailed examples in complex dimensions 1, 2 and 3. © 2014 Springer Science+Business Media Dordrecht.