Abstract
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.
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