In R^4, symmetric convex bodies of revolution containing the unit ball with constant-area tangent sections are Euclidean balls under arithmetic conditions on the area from continued fractions, and the set of such areas has positive Hausdorff dimension.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.MG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On convex bodies with constant non-central sections
In R^4, symmetric convex bodies of revolution containing the unit ball with constant-area tangent sections are Euclidean balls under arithmetic conditions on the area from continued fractions, and the set of such areas has positive Hausdorff dimension.