Isometry of the boundaries of plane domains and the properties of shortest geodesics (Q1334380)
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scientific article; zbMATH DE number 641324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isometry of the boundaries of plane domains and the properties of shortest geodesics |
scientific article; zbMATH DE number 641324 |
Statements
Isometry of the boundaries of plane domains and the properties of shortest geodesics (English)
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5 October 1994
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The main result of the paper establishes that, in the case of bounded domains in the plane, if the generalized boundaries are geodesically isometric then the domains are isometric.
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homotopy
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bounded domains
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boundaries
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geodesically isometric
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