20 citations · 88 across the 28 of their papers we have counts for
28 papers
The classification of -Lie algebras
Zhiqi Chen, Junna Ni, Jianhua Yu
Zusmanovich gave a fundamental result on the structure of -Lie algebras. But up to now, the classification of -Lie algebras is still open. In this paper, we give a complete c…
F-manifold color algebras
Ming Ding, Zhiqi Chen, Jifu Li
In this paper, we introduce the notion of F-manifold color algebras and study their properties which extend some results for F-manifold algebras.
Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces
Huibin Chen, Zhiqi Chen, Fuhai Zhu
In this paper, we focus on homogeneous spaces which are constructed from two strongly isotropy irreducible spaces, and prove that any geodesic orbit metric on these spaces is natur…
On the Geometric Orbit Property for Lorentz Manifolds
Zhiqi Chen, Joseph A. Wolf, Shaoxiang Zhang
The geodesic orbit property has been studied intensively for Riemannian manifolds. Geodesic orbit spaces are homogeneous and allow simplifications of many structural questions usin…
Weakly Symmetric Pseudo-Riemannian Nilmanifolds
Joseph A. Wolf, Zhiqi Chen
In an earlier paper we developed the classification of weakly symmetric pseudo--riemannian manifolds where is a semisimple Lie group and is a reductive subgroup. We d…
Geodesic Orbit Metrics on Compact Simple Lie Groups arising from Generalized Flag Manifolds
Huibin Chen, Zhiqi Chen, Joseph A. Wolf
In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of generalized flag manifolds. We…