摘要
We prove that Sp(2k+l)admits at least two non-naturally reductive Einstein metrics which are Ad(Sp(k)×Sp(k)×Sp(l))-invariant ifk<1.It implies that every compact simple Lie group Sp(n)for n≥4 admits at least 2[(n-1)/3]non-naturally reductive left-invariant Einstein metrics.
基金
This work was supported in part by the National Natural Science Foundation of China(Nos.11571182,11901300,11931009)
the Natural Science Foundation of Tianjin(No.19JCYBJC 30600)
the Natural Science Research of Jiangsu Education Institutions of China(No.19K JB 110015).
