Characterizations of balls by sections and caps
Among others, we prove that if a convex body K and a ball B have equal constant volumes of caps and equal constant areas of sections with respect to the supporting planes of a sphere, then K≡B.
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2015
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| Sorozat: | BEITRAGE ZUR ALGEBRA UND GEOMETRIE
56 No. 2 |
| doi: | 10.1007/s13366-014-0203-9 |
| mtmt: | 2595932 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/15937 |
| Tartalmi kivonat: | Among others, we prove that if a convex body K and a ball B have equal constant volumes of caps and equal constant areas of sections with respect to the supporting planes of a sphere, then K≡B. |
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| Terjedelem/Fizikai jellemzők: | 459-471 |
| ISSN: | 0138-4821 |