Geodesic webs of hypersurfaces (Q735855)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesic webs of hypersurfaces |
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Geodesic webs of hypersurfaces (English)
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26 October 2009
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The authors prove that each \((n+2)\)-web of hypersurfaces defines a unique projective structure for which the web is geodesic, while every pointed \((n+2)\)-web of hypersurfaces defines a unique affine connection for which the web is geodesic and the chosen foliation is defined by the affine function. They also prove necessary and sufficient conditions that a d-web be geodesic or locally linearizable.
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