A general Weyl-type integration formula for isometric group actions (Q969609)
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| Language | Label | Description | Also known as |
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| English | A general Weyl-type integration formula for isometric group actions |
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A general Weyl-type integration formula for isometric group actions (English)
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7 May 2010
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The authors proves that integration over a \(G\)-manifold \(M\) can be reduced to integration over a minimal section \(\Sigma\) with respect to an induced weighted measure and integration over a homogeneous space \(G/N\). The formula obtained is related to integration formulas for polar actions and some weight functions are calculated. For the case of a compact Lie group acting on itself via conjugation, a classical result of H. Weyl is obtained.
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polar actions
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section
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fat section
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minimal section
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integration formula
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isometric group action
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H. Weyl's integration formula
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