Item Infomation
Title: | Closed Embedded Self-shrinkers of Mean Curvature Flow |
Authors: | Oskar, Riedler |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | In this article, we show the existence of closed embedded self-shrinkers in Rn+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×Sk×Sk⊂R2k+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 (Angenent in Shrinking doughnuts, Birkhäuser, Boston, pp 21–38). |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s12220-023-01217-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7505 |
Appears in Collections | OER - Khoa học Tự nhiên |
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