https://neckpinch.com/authors/susanna-risa/New arXiv papers by Susanna Risa, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2203.05259/arxiv:2203.05259Thu, 10 Mar 2022 00:00:00 GMTSusanna Risa, Carlo Sinestrari — We prove the existence of closed convex ancient solutions to curvature flows which become more and more oval for large negative times. The speed function is a general symmetric function of the principal curvatures, homogeneous of degree greater than one. This generalises previous work on the mean curvature flow and other one-homogeneous curvature flows. As an auxiliary result, we prove a new theorem on the convergence to a round point of convex rotationally symmetric hypersurfaces satisfying a suitable constraint on the curvatures.Mean curvature flowOther curvature flowsAncient solutionsHomogeneous spacesRotational symmetry & warped products