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arXiv · 1104.5686

Canonical metrics on Cartan--Hartogs domains

Michela Zedda
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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 $g(μ)$. The first one is determining when the metric $g(μ)$ is extremal (in the sense of Calabi), while the second one studies when the coefficient $a_2$ in the Engliš expansion of Rawnsley $ε$-function associated to $g(μ)$ is constant.

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Michela Zedda. 2011-04-29. Canonical metrics on Cartan--Hartogs domains. https://doi.org/10.1142/s0219887812500119

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