Non-Riemannian Einstein-Randers metrics on $E_6/A_4$ and $E_6/A_1$

Chao Chen; Xiaosheng Li; Yuwang Hu; Zhiqi Chen

arxiv: 1711.03211 · v1 · pith:NIWRTXS3new · submitted 2017-11-08 · 🧮 math.DG

Non-Riemannian Einstein-Randers metrics on E₆/A₄ and E₆/A₁

Xiaosheng Li , Chao Chen , Zhiqi Chen , Yuwang Hu This is my paper

classification 🧮 math.DG

keywords metricsadmiteinstein-randersnon-riemanniantimeseinsteinfirsthomogeneous

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In this paper, we first prove that homogeneous spaces $E_6/A_4$ and $E_6/A_1$ admit Einstein metrics which are $Ad(T\times A_1\times A_4)$-invariant, and then show that they admit Non-Riemannian Einstein-Randers metrics.

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Non-Riemannian Einstein-Randers metrics on E₆/A₄ and E₆/A₁

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