The Einstein-Kähler metrics on Cartan-Hartogs domain of the first type (Q1777544)
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scientific article; zbMATH DE number 2170600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Einstein-Kähler metrics on Cartan-Hartogs domain of the first type |
scientific article; zbMATH DE number 2170600 |
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The Einstein-Kähler metrics on Cartan-Hartogs domain of the first type (English)
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23 May 2005
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The author studies the Einstein-Kähler problem on the Cartan-Hartogs domain of the first type \(Y_I\). By reducing the existence question on ODE, the author was able to find the generating function of the Einstein-Kähler metric. In some special cases, the metric can be written out explicitly. Also in some cases the comparison theorem of the complete Einstein-Kähler metric and the Kobayashi metric on \(Y_I\) is provided.
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Kähler-Einstein metric
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Cartan-Hartogs domain
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