Characterizations of balls by sections and caps (Q747567)
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scientific article; zbMATH DE number 6495580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of balls by sections and caps |
scientific article; zbMATH DE number 6495580 |
Statements
Characterizations of balls by sections and caps (English)
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16 October 2015
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The main result of this paper shows that if a convex body and a ball have equal constant volume of caps and equal constant areas of sections with respect to the supporting planes of a sphere, then the convex body is identical to the ball.
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sections
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caps
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ball
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sphere
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characterization
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isoperimetric inequality
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floating body
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0.8685304
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0.86624205
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0.8629494
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0.8609826
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0.8593581
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0.8576462
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0.85143316
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