[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2003.40.4.609

THE EINSTEIN-KÄHLER METRICS ON HUA DOMAIN

Wang, An (Department of Mathematics Capital Normal University)
Yin, Weiping (Department of Mathematics Capital Normal University)

Publication Information

Journal of the Korean Mathematical Society / v.40, no.4, 2003 , pp. 609-627 More about this Journal

Abstract

In this paper we describe the Einstein-Kahler metric for the Cartan-Hartogs of the first type which is the special case of the Hua domains. Firstly, we reduce the Monge-Ampere equation for the metric to an ordinary differential equation in the auxiliary function X = X(z, w) = $\midw\mid^2[det(I-ZZ^{T}]^{\frac{1}{K}}$ (see below). This differential equation can be solved to give an implicit function in Χ. Secondly, we get the estimate of the holomorphic section curvature under the complete Einstein-K $\ddot{a}$ hler metric on this domain.

Keywords

Cartan-Hartogs domain; Einstein-Kahler metric; comparison theorem; Hua domain;

Citations & Related Records

Times Cited By Web Of Science : 3 (Related Records In Web of Science)
Times Cited By SCOPUS : 2

Reference
Cited By SCOPUS

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1	/ Science in China, Series A: Mathematics, Physics, Astronomy
2	/ Science in China, Series A: Mathematics, Physics, Astronomy