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math.DG2014★ 2 cited
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…
math.DG2014
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…