Resumen de Surfaces expanding by the power of the Gauss curvature flow

Qi-Rui Li

• In this paper, we describe the flow of 2-surfaces in for some negative power of the Gauss curvature. We show that strictly convex surfaces expanding with normal velocity , when , converge to infinity in finite time. After appropriate rescaling, they converge to spheres. In the 2-dimensional case, our results close an apparent gap in the powers considered by previous authors, that is, for by Urbas and Huisken and for by Schnürer.