Locally conformally flat Kähler and para-Kähler manifolds
Let \((M,g,J_\epsilon)\) be a (para-)Kähler manifold, where \(J_\epsilon\) denotes the parallel (para-)complex structure, \(J_\epsilon^2 =-\epsilon \operatorname{Id}\) and \(g(J_\epsilon X,J_\epsilon Y) =\epsilon g(X,Y)\) for \(\epsilon =\pm 1\). The authors complete the classification of locally conformally flat Kähler and para-Kähler manifolds, describing all possible non-flat curvature models for Kähler and para-Kähler surfaces.
scientific article; zbMATH DE number 7358592
scientific article