Intrinsic volumes of ellipsoids

Anna Gusakova, Evgeny Spodarev, Dmitry Zaporozhets

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 \mat…