3 papers
math.DG2025
Invariant Einstein metrics on basic classical Lie supergroups
Huihui An, Zaili Yan, Shaoxiang Zhang
This paper presents a systematic study of invariant Einstein metrics on basic classical Lie supergroups, whose Lie superalgebras belong to the Kac's classification of finite dimens…
math.DG2024
Curvatures of metric Jordan algebras
Hui Zhang, Zaili Yan, Zhiqi Chen
In this paper, we investigate metric Jordan algebras, and follow the lines of the paper (J. Milnor: Curvatures of left invariant metrics on Lie groups. Adv. Math. (1976)). Firstly,…
math.DG2024
On pseudo-Riemannian Ricci-parallel Lie groups which are not Einstein
Huihui An, Zaili Yan
In this paper, we mainly study left invariant pseudo-Riemannian Ricci-parallel metrics on connected Lie groups which are not Einstein. Following a result of Boubel and Bérard Berg…