Ricci flat K\"ahler metrics on rank two complex symmetric spaces
Differential Geometry
2020-11-17 v1 Complex Variables
Abstract
We obtain Ricci flat K\"ahler 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.
Keywords
Cite
@article{arxiv.1807.07129,
title = {Ricci flat K\"ahler metrics on rank two complex symmetric spaces},
author = {Olivier Biquard and Thibaut Delcroix},
journal= {arXiv preprint arXiv:1807.07129},
year = {2020}
}
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39 pages