On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature (Q1204147)
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scientific article; zbMATH DE number 126338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature |
scientific article; zbMATH DE number 126338 |
Statements
On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature (English)
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3 March 1993
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The Petersson-Weil metric is a natural Kähler metric on Hermite- Einstein vector bundles on complex surfaces. The main purpose of this paper is to prove (in any dimension) an explicit formula for the curvature tensor of the Petersson-Weil metric on the base of a family of Hermite-Einstein vector bundles in a very short way. The authors make use only of the curvature form on the total space which in fact contains the harmonic representations of the Kodaira-Spencer classes.
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Petersson-Weil metric
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Hermite-Einstein vector bundles
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curvature tensor
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Kodaira-Spencer classes
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