We study the slicing inequality for the surface area instead of volume. This is the question
whether there exists a constant $\alpha _n $ depending (or not) on the dimension $ n $ so …

We deduce explicit formulae for the intrinsic volumes of an ellipsoid in $\mathbb R^ d $, $
d\ge 2$, in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset\mathbb …

Convexity, as a branch of classical mathematics, is located at the confluence of geometry,
analysis, topology and combinatorics. Although its origins can be traced back to Archimedes …

We deduce explicit formulae for the intrinsic volumes of an ellipsoid in $\mathbb R^ d $, $
d\ge 2$, in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset\mathbb …