Non-naturally reductive Einstein metrics on the compact simple Lie group \(F_4\)
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  • 作者：Zhiqi Chen (1)
    Ke Liang (1)
  • 关键词：Einstein metric ; Homogeneous space ; Naturally reductive metric ; Non ; naturally reductive metric ; Involution ; Primary 53C25 ; Secondary 53C30 ; 17B20
  • 刊名：Annals of Global Analysis and Geometry
  • 出版年：2014
  • 出版时间：August 2014
  • 年：2014
  • 卷：46
  • 期：2
  • 页码：103-115
  • 全文大小：219 KB
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  • 作者单位：Zhiqi Chen (1)
    Ke Liang (1)

    1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People鈥檚 Republic of China
  • ISSN：1572-9060
文摘
Based on the representation theory and the study on the involutions of compact simple Lie groups, we show that \(F_4\) admits non-naturally reductive Einstein metrics.
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