与阿贝尔复结构相容的多闭Strominger Kähler度量
Pluriclosed and Strominger Kähler-like metrics compatible with abelian complex structures
摘要：
证明了在具有左不变阿贝尔复结构的幺模李群上存在左不变复闭厄米度量，使得该李群是$2$ -步幂零的.此外，我们还证明了从$2$ -步幂零李群上的左不变Hermitian度量出发的复闭流保持Strominger Kähler-like条件.
英文摘要：
We show that the existence of a left-invariant pluriclosed Hermitian metric on a unimodular Lie group with a left-invariant abelian complex structure forces the group to be $2$-step nilpotent. Moreover, we prove that the pluriclosed flow starting from a left-invariant Hermitian metric on a $2$-step nilpotent Lie group preserves the Strominger Kähler-like condition.
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