The existence of hypersurfaces of constant Gauss curvature with prescribed boundary. (Q1777989)
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scientific article; zbMATH DE number 2171918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of hypersurfaces of constant Gauss curvature with prescribed boundary. |
scientific article; zbMATH DE number 2171918 |
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The existence of hypersurfaces of constant Gauss curvature with prescribed boundary. (English)
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26 May 2005
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The authors establish the existence of hypersurfaces of constant Gauss-Kronecker curvature with prescribed boundary. This is achieved by means of Monge-Ampere type equations. Important local properties of locally convex hypersurfaces with boundary are proven. A special attention is paid to the regularity of the constructed hypersurfaces.
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hypersurfaces
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curvature
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Monge-Ampere equations
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regularity
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0.94971466
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0.93026537
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0.9249066
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0.91658396
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0.91606736
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0.9145411
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