Homogeneous Einstein-like metrics on symmetric spaces

Chao Qian; An Wu

doi:10.1007/s11425-019-9744-0

Homogeneous Einstein-like metrics on symmetric spaces

Chao Qian, An Wu^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

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 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.

源语言	英语
页（从-至）	1045-1060
页数	16
期刊	Science China Mathematics
卷	64
期	5
DOI	https://doi.org/10.1007/s11425-019-9744-0
出版状态	已出版 - 5月 2021

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Qian, C., & Wu, A. (2021). Homogeneous Einstein-like metrics on symmetric spaces. Science China Mathematics, 64(5), 1045-1060. https://doi.org/10.1007/s11425-019-9744-0

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AB - 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 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.

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Homogeneous Einstein-like metrics on symmetric spaces

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