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math.DG2013★ 2 cited
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.
math.DG2013★ 1 cited
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…