https://neckpinch.com/authors/hojoo-lee/New arXiv papers by Hojoo Lee, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1708.09113/arxiv:1708.09113Wed, 30 Aug 2017 00:00:00 GMTGregory Drugan, Hojoo Lee, Xuan Hien Nguyen — In this paper, we survey known results on closed self-shrinkers for mean curvature flow and discuss techniques used in recent constructions of closed self-shrinkers with classical rotational symmetry. We also propose new existence and uniqueness problems for closed self-shrinkers with bi-rotational symmetry and provide numerical evidence for the existence of new examples.Mean curvature flowSelf-shrinkers & translatorsStability & uniquenessRotational symmetry & warped productsNumerics & visualization https://neckpinch.com/papers/1608.08955/arxiv:1608.08955Wed, 31 Aug 2016 00:00:00 GMTKwok-Kun Kwong, Hojoo Lee, Juncheol Pyo — We use the weighted Hsiung-Minkowski integral formulas and Brendle's inequality to show new rigidity results. First, we prove Alexandrov type results for closed embedded hypersurfaces with radially symmetric higher order mean curvature in a large class of Riemannian warped product manifolds, including the Schwarzschild and Reissner-Nordström spaces, where the Alexandrov reflection principle is not available. Second, we prove that, in Euclidean space, the only closed immersed self-expanding solitons to the weighted generalized inverse curvature flow of codimension one are round hyperspheres.Other curvature flowsInverse mean curvature flowRicci solitonsSelf-shrinkers & translatorsStability & uniquenessRotational symmetry & warped products https://neckpinch.com/papers/1608.02137/arxiv:1608.02137Sat, 06 Aug 2016 00:00:00 GMTGregory Drugan, Frederick Tsz-Ho Fong, Hojoo Lee — We show that any complete, immersed self-expander to the inverse mean curvature flow, which has one end asymptotic to a cylinder, or has two ends asymptotic to two coaxial cylinders, must be rotationally symmetric.Mean curvature flowOther curvature flowsInverse mean curvature flowSelf-shrinkers & translatorsRotational symmetry & warped products