A characterization of regular saddle surfaces in the hyperbolic and spherical three-space (Q700881)
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scientific article; zbMATH DE number 1814783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of regular saddle surfaces in the hyperbolic and spherical three-space |
scientific article; zbMATH DE number 1814783 |
Statements
A characterization of regular saddle surfaces in the hyperbolic and spherical three-space (English)
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15 October 2002
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The concept of regular saddle surfaces is extended to simply connected 3-manifolds of constant curvature. It is proven that a regular surface in elliptic and hyperbolic three-space is a saddle surface iff its Gaussian curvature is everywhere not greater than the curvature of the surrounding space.
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regular saddle surface
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elliptic 3-space
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hyperbolic 3-space
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0.94196874
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0.9195979
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0.8915596
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0.8899406
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0.8794642
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0.87680733
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0.8707858
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0.8688533
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