On the cut loci of a von Mangoldt's surface of revolution (Q1801840)
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scientific article; zbMATH DE number 218418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the cut loci of a von Mangoldt's surface of revolution |
scientific article; zbMATH DE number 218418 |
Statements
On the cut loci of a von Mangoldt's surface of revolution (English)
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17 August 1993
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The author considers complete Riemannian metrics on \(\mathbb{R}^ 2\) such that the metric is rotationally symmetric with respect to the origin and the Gauss curvature is monotonically non-increasing with respect to the distance to the origin. He determines the cut locus of all points.
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surfaces of revolution
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complete Riemannian metrics
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rotationally symmetric
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cut locus
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0.90396917
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0.90379286
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0.8937302
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0.8924301
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0.89058894
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