Einstein-Hermitian and anti-Hermitian 4-manifolds
Volume 81 / 2003
Annales Polonici Mathematici 81 (2003), 7-24
MSC: 53B21, 53B35, 53C25.
DOI: 10.4064/ap81-1-2
Abstract
We study 4-dimensional Einstein-Hermitian non-Kähler manifolds admitting a certain anti-Hermitian structure. We also describe Einstein 4-manifolds which are of cohomogeneity 1 with respect to an at least $4$-dimensional group of isometries.
