scholarly journals Splitting submanifolds in rational homogeneous spaces of Picard number one

Author(s):  
Cong Ding
Mathematics ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 102
Author(s):  
Jae-Hyouk Lee ◽  
Kyeong-Dong Park ◽  
Sungmin Yoo

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 purpose, we present their algebraic moment polytopes and compute the barycenter of each moment polytope with respect to the Duistermaat–Heckman measure.


2015 ◽  
Vol 429 ◽  
pp. 413-446 ◽  
Author(s):  
Gianfranco Casnati ◽  
Daniele Faenzi ◽  
Francesco Malaspina
Keyword(s):  

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