Geometry of the $L_q$-centroid bodies of an isotropic log-concave measure

Apostolos Giannopoulos, Pantelis Stavrakakis, Antonis Tsolomitis +1

We study some geometric properties of the $L_q$-centroid bodies $Z_q(\mu )$ of an isotropic log-concave measure $\mu$ on ${\mathbb{R}}^n$. For any $2\ls q\ls\sqrt{n}$ and for $\varepsilo…