3 problems

Let $M\subset\mathbb S^{n+1}_1$ be a spacelike, compact, star-shaped, and $k$-convex hypersurface. For $1\leq k\leq n$, let $\mathcal A_k$ denote the quermassintegral-type quantity…

Let $d$ be the spacetime dimension, let $uinmathbb{C}$ satisfy … and let $G_0^{\mathrm{sym}}$, $G_0^{\mathrm{sym},A}$, $G^{\mathrm{PJ}}$, and $G^{\mathrm{PJ},A}$ be the invariant…

Quermassintegral inequalities conjecture. There hold