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.

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Li, Xiaosheng, Chen, Chao, Chen, Zhiqi, Hu, Yuwang
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
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.
DOI:10.48550/arxiv.1711.03211