Ricci flat Kähler metrics on rank two complex symmetric spaces

Abstract

We obtain Ricci flat Kähler metrics on complex symmetric spaces of rank two by using an explicit asymptotic model whose geometry at infinity is interpreted in the wonderful compactification of the symmetric space. We recover the metrics of Biquard-Gauduchon in the Hermitian case and obtain in addition several new metrics.

39 pages

References in corpus (2)

• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• Kähler-Einstein metrics on group compactifications

Cited by in corpus (3)

• The Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds
• K-stable valuations and Calabi-Yau metrics on affine spherical varieties
• Limits of conical Kähler-Einstein metrics on rank one horosymmetric spaces