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Non-naturally reductive Einstein metrics on the compact simple Lie group \(F_4\)

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Abstract

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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Acknowledgments

This work is supported by NSFC (No. 11001133). The first author would like to thank Prof. J.A. Wolf for the helpful conversation and suggestions.

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Authors and Affiliations

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People’s Republic of China

    Zhiqi Chen & Ke Liang

Authors
  1. Zhiqi Chen
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  2. Ke Liang
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Correspondence to Zhiqi Chen.

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Chen, Z., Liang, K. Non-naturally reductive Einstein metrics on the compact simple Lie group \(F_4\) . Ann Glob Anal Geom 46, 103–115 (2014). https://doi.org/10.1007/s10455-014-9413-5

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  • DOI: https://doi.org/10.1007/s10455-014-9413-5

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