Communications in Analysis and Geometry
Volume 24 (2016)
On complete constant scalar curvature Kähler metrics with Poincaré–Mok–Yau asymptotic property
Pages: 521 – 557
Let $X$ be a compact Kähler manifold and $S$ a subvariety of $X$ with higher co-dimension. The aim is to study complete constant scalar curvature Kähler metrics on non-compact Kähler manifold $X-S$ with Poincaré–Mok–Yau asymptotic property (see Definition 1.1). In this paper, the methods of Calabi ansatz and the moment construction are used to provide some special examples of such metrics.