3 papers
math.DG2025
Structure of non-solvable cyclic metric Lie algebras
An Huihui, Tan Ju, Yan Zaili
This paper presents a systematic study of the structure of non-solvable cyclic metric Lie algebras. A cyclic metric is a symmetric bilinear form satisfying a cyclic cocycle conditi…
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
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…