The geometric properties of the complete noncompact surface with nonnegative curvature (Q2739165)
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scientific article; zbMATH DE number 1643535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The geometric properties of the complete noncompact surface with nonnegative curvature |
scientific article; zbMATH DE number 1643535 |
Statements
5 March 2003
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noncompact surface
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nonnegative curvature
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geodesic
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cut locus
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0.91578126
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0.91178715
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0.9059793
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0.9035041
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0.9027064
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The geometric properties of the complete noncompact surface with nonnegative curvature (English)
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In this paper, the author proves that every geodesic \(r: [0, +\infty)\to M,\) where \(M\) is a simply connected surface with nonnegative curvature, goes to infinity. But this may be false if \(\dim (M) \geq 3\). Using this condition, the author also proves that for such a surface, its cut locus is nothing but its first conjugate locus.
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