2 citations · 5 across the 5 of their papers we have counts for
5 papers
Invariant Einstein metrics on three-locally-symmetric spaces
Zhiqi Chen, Yifang Kang, Ke Liang
In this paper, we classify three-locally-symmetric spaces for a connected, compact and simple Lie group. Furthermore, we give the classification of invariant Einstein metrics on th…
Non-trivial -quasi-Einstein metrics on quadratic Lie groups
Zhiqi Chen, Ke Liang, Fahuai Yi
We call a metric -quasi-Einstein if (a modification of the -Bakry-Emery Ricci tensor in terms of a suitable vector field ) is a constant multiple of the metric t…
Non-naturally reductive Einstein metrics on the compact simple Lie group
Zhiqi Chen, Ke Liang
Based on the representation theory and the study on the involutions of compact simple Lie groups, we show that admits non-naturally reductive Einstein metrics.
Non-trivial -quasi-Einstein metrics on simple Lie groups
Zhiqi Chen, Ke Liang, Fuhai Zhu
We call a metric -quasi-Einstein if , which replaces a gradient of a smooth function by a vector field in -Bakry-Emery Ricci tensor, is a constant multiple o…
The decomposition of a Lie group with a left invariant pseudo-Riemannian metric and the uniqueness
Zhiqi Chen, Ke Liang, Mingming Ren
In this paper, we discuss the decomposition of a Lie group with a left invariant pseudo-Riemannian metric and the uniqueness. The decomposition is defined by non-degenerate strong…