Canonical metrics on Cartan-Hartogs domains
The author addresses two problems concerning a family of domains \(M_{\Omega}(\mu)\subset\mathbb C^n\), called Cartan-Hartogs domains, endowed with a natural Kähler metric \(g(\mu)\). The first issue is to determine when the metric \(g(\mu)\) is extremal (in the sense of Calabi), while the second issue deals with the investigation of when the coefficient \(a_2\) of the Engliš expansion of the Rawnsley \(\epsilon\)-function associated to the metric is constant.
scientific article; zbMATH DE number 6048359