Kähler–Einstein Metrics on Smooth Fano Symmetric Varieties with Picard Number One
Kähler–Einstein Metrics on Smooth Fano Symmetric Varieties with Picard Number One
Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano symmetric varieties with Picard number one admit Kähler–Einstein metrics by using a combinatorial criterion for K-stability of Fano spherical varieties obtained by Delcroix. For this …