We study some types of qc-Einstein manifolds with zero qc-scalar curvature introduced by S. Ivanov and D. Vassilev. Secondly, we shall construct a family of quaternionic Hermitian metrics \((g_a,\{J_\alpha \}_{\alpha =1}^3)\) on the domain Y of the standard quaternion space \({\mathbb {H}}^n\) one of which, say \((g_a,J_1)\) is a Bochner flat Kähler metric. To do so, we deform conformally the standard quaternionic contact structure on the domain X of the quaternionic Heisenberg Lie group \({{\mathcal {M}}}\) to obtain quaternionic Hermitian metrics on the quotient Y of X by \({\mathbb {R}}^3\).

我们研究了一些类型的QC零-爱因斯坦歧管QC由伊凡诺夫和D.瓦西列夫介绍-scalar曲率。其次，我们将构建家庭四元埃尔米特度量\（（G_A，\ {J_ \阿尔法\} _ {\阿尔法= 1} ^ 3）\）在域ÿ标准四元空间\（{\ mathbb { H}} ^ n \）其中之一，例如\（（g_a，J_1）\）是Bochner平面Kähler度量。为此，我们对四元Heisenberg Lie群\（{{\ mathcal {M}}} \\}的域X上的标准四元离子接触结构进行共形变形，以获得商Y上的四元厄米度量。 的X由\（{\ mathbb {R}} ^ 3 \）。