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<p>In this paper, we focus on Einstein metrics and Einstein-Randers metrics on homogeneous spaces <i>G</i>/<i>H</i> which are arising from generalized Wallach spaces <i>G</i>/<i>K</i>. In fact, we study a special kind of <i>G</i>-invariant metrics on <i>G</i>/<i>H</i> which is determined by Ad(<i>K</i>)-invariant inner products on the tangent space of <i>G</i>/<i>H</i>, and then obtain new Einstein metrics on <i>G</i>/<i>H</i>. Furthermore, based on these Einstein metrics, we construct new Einstein-Randers metrics on <i>G</i>/<i>H</i>.</p>

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Einstein-Randers Metrics on Homogeneous Spaces Arising from Generalized Wallach Spaces

  • 期刊论文

  • 发表日期：

    2026年1月5日

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  • Chao Chen,
  • Huibin Chen,
  • Zhiqi Chen

摘要

In this paper, we focus on Einstein metrics and Einstein-Randers metrics on homogeneous spaces G/H which are arising from generalized Wallach spaces G/K. In fact, we study a special kind of G-invariant metrics on G/H which is determined by Ad(K)-invariant inner products on the tangent space of G/H, and then obtain new Einstein metrics on G/H. Furthermore, based on these Einstein metrics, we construct new Einstein-Randers metrics on G/H.