The isometric imbedding in \(E^ 3\) of the convex region of Lobachevskij plane containing a horicircle (Q1089930)
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scientific article; zbMATH DE number 4007147
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The isometric imbedding in \(E^ 3\) of the convex region of Lobachevskij plane containing a horicircle |
scientific article; zbMATH DE number 4007147 |
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The isometric imbedding in \(E^ 3\) of the convex region of Lobachevskij plane containing a horicircle (English)
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1986
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The main result of this note is: There is an unbounded convex domain G of the Lobachevskij plane such that 1) G contains a horicircle, 2) no horicircle contains all points of G, 3) G does not contain a complete geodesic, 4) G has an isometric imbedding as a regular surface into the 3-dimensional Euclidean space.
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Lobachevskij plane
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horicircle
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isometric imbedding
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0.9235636
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0.8763666
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0.8701577
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0.86996335
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0.8687012
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