NON-CENTRAL SECTIONS OF CONVEX BODIES

作者:Yaskin Vladyslav*; Zhang Ning
来源:Israel Journal of Mathematics, 2017, 220(2): 763-790.
DOI:10.1007/s11856-017-1532-9

摘要

Let K be a convex body in R-n. Is K uniquely determined by the areas of its sections? There are classical results that explain what happens in the case of sections passing through the origin. However, much less is known about sections that do not contain the origin. We discuss several problems of this type and establish the corresponding uniqueness results.

  • 出版日期2017-6

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