Endre Makai

collaborators

2 papers

math.MG2026

A strengthening of the Blaschke-Santaló inequality for $o$ -symmetric planar convex bodies

Károly J. Böröczky, Endre Makai

We verify the inequality $\frac{∣ K ∣}{∣ E ∣} + \frac{∣ K ^{*} ∣}{∣ E ^{*} ∣} \leq 2$ for any $o$ -symmetric convex body $K \subset R^{2}$ where $E$ is either the John ellipse of maximal ar…

math.MG2024

Ball characterizations in planes and spaces of constant curvature, I

Jesús Jerónimo-Castro, Endre Makai

Let us have in S^2, R^2 or H^2 a pair of convex bodies, for S^2 different from S^2, such that the intersections of any congruent copies of them are centrally symmetric. Then our bo…

A strengthening of the Blaschke-Santaló inequality for o-symmetric planar convex bodies

Ball characterizations in planes and spaces of constant curvature, I

A strengthening of the Blaschke-Santaló inequality for $o$ -symmetric planar convex bodies