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math.DG2015
New Einstein metrics on the Lie group which are not naturally reductive
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We obtain new invariant Einstein metrics on the compact Lie groups () which are not naturally reductive. This is achieved by imposing certain symmetry assumptions…
math.DG2015★ 25 cited
Non-naturally reductive Einstein metrics on exceptional Lie groups
Ioannis Chrysikos, Yusuke Sakane
Given an exceptional compact simple Lie group we describe new left-invariant Einstein metrics which are not naturally reductive. In particular, we consider fibrations of ov…