New examples of imbedded spherical soap bubbles in \(S^ N(1)\) (Q1088170)
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scientific article; zbMATH DE number 3990297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New examples of imbedded spherical soap bubbles in \(S^ N(1)\) |
scientific article; zbMATH DE number 3990297 |
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New examples of imbedded spherical soap bubbles in \(S^ N(1)\) (English)
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1987
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A. D. Alexandrov proved that the only imbedded soap bubbles in Euclidean or hyperbolic n-space are round spheres. This also holds for an n- dimensional hemisphere. In this paper we give many new examples of differentiable (n-1)-spheres imbedded as soap bubbles in spherical n- space. Thus we show Alexandrov's theorem is false for spherical n-space even under the added assumption that the soap bubbles are differentiable (n-1)-spheres.
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soap bubbles
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spherical n-space
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Alexandrov's theorem
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0.8033543229103088
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0.7693784832954407
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0.7584550976753235
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0.7557245492935181
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