How the curvature generates the holonomy of a connection in an arbitrary fibre bundle (Q867485)
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scientific article; zbMATH DE number 5127418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | How the curvature generates the holonomy of a connection in an arbitrary fibre bundle |
scientific article; zbMATH DE number 5127418 |
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How the curvature generates the holonomy of a connection in an arbitrary fibre bundle (English)
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15 February 2007
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For an arbitrary fibre bundle with a connection, it is shown how the parallel displacement along a null-homotopic loop can be obtained from the curvature by integration. The Ambrose-Singer theorem is a corollary of this general setting.
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connection on a arbitrary fibre bundle
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curvature, holonomy
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Ambrose-Singer theorem
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