https://neckpinch.com/authors/marco-radeschi/New arXiv papers by Marco Radeschi, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2006.03945/arxiv:2006.03945Sat, 06 Jun 2020 00:00:00 GMTXiaobo Liu, Marco Radeschi — In this paper, we study polar foliations on simply connected symmetric spaces with non-negative curvature. We will prove that all such foliations are isoparametric as defined by Heintze, Liu and Olmos. We will also prove a splitting theorem which reduces the study of such foliations to polar foliations in compact simply connected symmetric spaces. Moreover, we will show that solutions to mean curvature flow of regular leaves in such foliations are always ancient solutions. This generalizes part of the results of Liu and Terng for the mean curvature flow of isoparametric submanifolds in spheres.Mean curvature flowAncient solutions