Christos Saroglou

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20132026

most citedMore on logarithmic sums of convex bodies

28 citations · 44 across the 8 of their papers we have counts for

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math.FA2023

Uniqueness when the $L_{p}$ curvature is close to be a constant for $p \in [0, 1)$

Károly J. Böröczky, Christos Saroglou

For fixed positive integer $n$ , $p \in [0, 1]$ , $a \in (0, 1)$ , we prove that if a function $g : S^{n - 1} \to R$ is sufficiently close to 1, in the $C^{a}$ sense, then there…

math.FA2014★ 28 cited

More on logarithmic sums of convex bodies

Christos Saroglou

We prove that the log-Brunn-Minkowski inequality (log-BMI) for the Lebesque measure in dimension $n$ would imply the log-BMI and, therefore, the B-conjecture for any log-concave de…

math.FA2013

On the equivalence between two problems of asymmetry on convex bodies

Christos Saroglou

The simplex was conjectured to be the extremal convex body for the two following "problems of asymmetry":\\ P1) What is the minimal possible value of the quantity $\max_{K'} |K'|/|…

math.FA2013

Remarks on the conjectured log-Brunn-Minkowski inequality

Christos Saroglou

\footnotesize Böröczky, Lutwak, Yang and Zhang recently conjectured a certain strengthening of the Brunn-Minkowski inequality for symmetric convex bodies, the so-called log-Brunn-M…

Uniqueness when the Lp​ curvature is close to be a constant for p∈[0,1)

More on logarithmic sums of convex bodies

On the equivalence between two problems of asymmetry on convex bodies

Remarks on the conjectured log-Brunn-Minkowski inequality

Uniqueness when the $L_{p}$ curvature is close to be a constant for $p \in [0, 1)$