De Rham-Hodge-Kodaira operator on loop groups (Q1368852)
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scientific article; zbMATH DE number 1069300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | De Rham-Hodge-Kodaira operator on loop groups |
scientific article; zbMATH DE number 1069300 |
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De Rham-Hodge-Kodaira operator on loop groups (English)
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26 November 1998
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For a compact Lie group \(G\) with unit \(e\) denote by \(L_e(G)\) the corresponding based loop group supplied with its pinned Wiener measure. The authors investigate the de Rham-Hodge-Kodaira operator on differential \(n\)-forms over \(L_e(G)\) by a general method based on the quasi-invariance of the Wiener measure. The method allows one to apply integration by parts which simplifies calculations. The Ricci curvature is calculated and a sort of Bochner-Weitzenböck formula is established.
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loop group
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de Rham-Hodge-Kodaira operator
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0.8911283
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0.8785088
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0.8722289
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0.87156785
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