Homogeneous Einstein-like metrics on symmetric spaces

• 作者: Chao Qian An Wu
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2021,（5）
• 所属期刊栏目: Articles
• 页码范围: 1045-1060
• 页数: 16页
• 语种: 英文

摘要

In this paper,we study homogeneous Einstein-like metrics on the compact irreducible symmetric space M,which is not isometric to a compact Lie group and has rank greater than 1.Whenever there exists a closed proper subgroup G'of G =Isom0 (M) acting transitively on M,we find all the G'-invariant A-metrics and B-metrics on M.More precisely,we prove that G'-invariant metrics on M must be A-metrics,and G'-invariant B-metrics on M are always Einstein.