https://neckpinch.com/authors/oskar-riedler/New arXiv papers by Oskar Riedler, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2207.04851/arxiv:2207.04851Mon, 11 Jul 2022 00:00:00 GMTOskar Riedler — In this article we show the existence of closed embedded self-shrinkers in BbbRⁿ⁺¹ that are topologically of type S¹× M, where M⊂ Sⁿ is any isoparametric hypersurface in Sⁿ for which the multiplicities of the principle curvatures agree. This yields new examples of closed self-shrinkers, for example self-shrinkers of topological type S¹× S^k× S^k⊂ Bbb R^(2k+2) for any k. If the number of distinct principle curvatures of M is one the resulting self-shrinker is topologically S¹× Sⁿ⁻¹ and the construction recovers Angenent's shrinking doughnut.Mean curvature flowSelf-shrinkers & translators