In this paper we address two problems concerning a family of domains M_Ω(μ) ⊂ ℂ^n, called Cartan-Hartogs domains, endowed with a natural Kähler 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.
CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS / Zedda, Michela. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - 09:(2012), pp. 1-13. [10.1142/S0219887812500119]
CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS
ZEDDA, MICHELA
2012-01-01
Abstract
In this paper we address two problems concerning a family of domains M_Ω(μ) ⊂ ℂ^n, called Cartan-Hartogs domains, endowed with a natural Kähler 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.File in questo prodotto:
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