Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898633 | Journal of Differential Equations | 2018 | 12 Pages |
Abstract
In this paper, we construct two convex bodies K and L in Rn, nâ¥3, such that their projections K|H, L|H onto every subspace H are congruent, but nevertheless, K and L do not coincide up to a translation or a reflection in the origin. This gives a negative answer to an old conjecture posed by Nakajima and Süss.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ning Zhang,