Proves Bezdek's conjecture in dimensions n≥3 for convex bodies with aligned center of symmetry, assuming sections through a fixed point have reflection axes whose complementary invariant subspaces are parallel to a fixed hyperplane, in both orthogonal and affine settings.
Angeles Alfonseca, M
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.MG 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On Bezdek's conjecture for high-dimensional convex bodies with an aligned center of symmetry
Proves Bezdek's conjecture in dimensions n≥3 for convex bodies with aligned center of symmetry, assuming sections through a fixed point have reflection axes whose complementary invariant subspaces are parallel to a fixed hyperplane, in both orthogonal and affine settings.