The computations of Einstein-Kaehler metric of Cartan-Hartogs domain

机译：Cartan-Hartogs域的Einstein-Kaehler度量的计算

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摘要

In this paper, we compute the complete Einstein-Kaehler metric with explicit formula for the Cartan-Hartogs domain of the fourth type in some cases. Under this metric the holomorphic sectional curvature is given, which intervenes between -2κ and -1. This is the sharp estimate.

机译：在本文中，在某些情况下，我们使用第四类的Cartan-Hartogs域的显式公式来计算完整的Einstein-Kaehler度量。在此度量下，将给出全纯截面曲率，其介于-2κ和-1之间。这是一个尖锐的估计。

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来源
《Mathematics Several Complex Variables and Complex Geometry; ;》||P.365-376|共12页
会议地点
作者
YIN Xiaolan; ZHAO Xiaoxia;
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作者单位

Institute of Software, Chinese Academy of Sciences, Beijing 100080, China;

Department of Computer Science, Beijing Language and Culture University, Beijing 100083, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
cartan-hartogs domain; einstein-kaehler; holomorphic sectional curvature;

机译：Cartan-hartogs域;爱因斯坦-凯勒;全同截面曲率;

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专利

1. The computations of Einstein-Kaehler metric of Cartan-Hartogs domain [J] . YIN Xiaolan, ZHAO Xiaoxia Science in China. Series A, Mathematics, physics, astronomy . 2005,第MayS期

机译：Cartan-Hartogs域的Einstein-Kaehler度量的计算
2. The Einstein-Kaehler metrics on Cartan-Hartogs domain of the first type [J] . WANG An Science in China. Series A, Mathematics, physics, astronomy . 2004,第2期

机译：第一类Cartan-Hartogs域上的Einstein-Kaehler度量
3. The Equivalence between Bergman Metric and Einstein-Kahler Metric on the Cartan-Hartogs Domain of the Fourth Type [J] . ZHAO Xiao-xia, LIN Ping 数学季刊：英文版 . 2008,第003期

机译：第四类Cartan-Hartogs域上Bergman度量与Einstein-Kahler度量的等价性
4. Einstein-Kaehler Metric on Cartan-Hartogs Domains [C] . WANG An, YIN Weiping, ZHANG Liyou, Beijing-International Conference on Several Complex Variables(SCV 2004, Beijing); 20041022-27; Beijing(CN) . 2004

机译：关于Cartan-Hartogs域的Einstein-Kaehler度量
5. Boundary behavior of a infinitesimal metric and intrinsic measure on domains and moduli space. [D] . Overholser, Eric Wayne. 2005

机译：域和模空间上无穷小度量和内在度量的边界行为。
6. Development of a metric for tracking and comparing population health based on the minimal generic set of domains of functioning and health [O] . Cornelia Oberhauser, Somnath Chatterji, Carla Sabariego, 2016

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7. Remarks on the canonical metrics on the Cartan-Hartogs domains [O] . Bi, Enchao, Tu, Zhenhan 2017

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8. Einstein-Kaehler metrics with explicit forms on a class of egg domains [R] . 1995

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The computations of Einstein-Kaehler metric of Cartan-Hartogs domain

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