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RICCI FLAT KAHLER METRICS ON RANK TWO COMPLEX SYMMETRIC SPACES
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RICCI FLAT KAHLER METRICS ON RANK TWO COMPLEX SYMMETRIC SPACES

Olivier Biquard et Thibaut Delcroix
Journal de l'École polytechnique. Mathématiques, Vol.6, pp.163-201
01/01/2019

Résumé

Mathematics Physical Sciences Science & Technology
We obtain Ricci flat Kahler 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.

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