On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures (Q582457)

We study the motion of smooth, closed, compact, starshaped hypersurfaces in \({\mathbb{R}}^{n+1}\) expanding in the direction of their normal vectorfield with speed given by the reciprocal of a suitable degree one homogeneous, positive, symmetric, concave function of the principal curvatures. We show that the hypersurfaces remain smooth and starshaped for all time and that asymptotically they become round.