Non-Riemannian Einstein-Randers metrics on \(E_6/A_4\) and \(E_6/A_1\)

Non-Riemannian Einstein-Randers metrics on \(E_6/A_4\) and \(E_6/A_1\)

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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Veröffentlicht in:arXiv.org 2017-11
Hauptverfasser: Li, Xiaosheng, Chen, Chao, Chen, Zhiqi, Hu, Yuwang
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422