A new invariant Kähler metric on relatively compact domains in a complex manifold
Volume 91 / 2007
Annales Polonici Mathematici 91 (2007), 147-159
MSC: Primary 32F45; Secondary 32A25.
DOI: 10.4064/ap91-2-5
Abstract
We introduce a new invariant Kähler metric on relatively compact domains in a complex manifold, which is the Bergman metric of the $L^2$ space of holomorphic sections of the pluricanonical bundle equipped with the Hermitian metric introduced by Narasimhan–Simha.