Canonical metrics on Cartan--Hartogs domains

Abstract

In this paper we address two problems concerning a family of domains $M_Ω(μ) \subset \C^n$, called Cartan-Hartogs domains, endowed with a natural Kaehler metric $g(\mu )$. The first one is determining when the metric $g(\mu )$ is extremal (in the sense of Calabi), while the second one studies when the coefficient $a_2$ in the Engliš expansion of Rawnsley $\epsilon$-function associated to $g(\mu )$ is constant.

13 pages

Cited by in corpus (7)

• On canonical metrics on Cartan-Hartogs domains
• Balanced metrics on some Hartogs type domains over bounded symmetric domains
• The Simanca metric admits a regular quantization
• Rawnsley's $\epsilon$-function on some Hartogs type domains over bounded symmetric domains and its applications
• On the third coefficient of TYZ expansion for radial scalar flat metrics
• On the Szegö kernel of Cartan-Hartogs domains
• A Cartan-Hartogs version of the Polydisk Theorem