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Closed Embedded Self-shrinkers of Mean Curvature Flow

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Main Author: Oskar, Riedler
Format: Book
Language:English
Published: Springer 2023
Subjects:
self-shrinkers in Rn+1
S1×Sk×Sk⊂R2k+2 for any k
Online Access:https://link.springer.com/article/10.1007/s12220-023-01217-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7505
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spelling oai:localhost:PNK-75052023-04-04T08:48:21Z Closed Embedded Self-shrinkers of Mean Curvature Flow Oskar, Riedler self-shrinkers in Rn+1 S1×Sk×Sk⊂R2k+2 for any k CC BY 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). 2023-04-04T08:48:21Z 2023-04-04T08:48:21Z 2023 Book https://link.springer.com/article/10.1007/s12220-023-01217-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7505 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic self-shrinkers in Rn+1
S1×Sk×Sk⊂R2k+2 for any k
spellingShingle self-shrinkers in Rn+1
S1×Sk×Sk⊂R2k+2 for any k
Oskar, Riedler
Closed Embedded Self-shrinkers of Mean Curvature Flow
description CC BY
format Book
author Oskar, Riedler
author_facet Oskar, Riedler
author_sort Oskar, Riedler
title Closed Embedded Self-shrinkers of Mean Curvature Flow
title_short Closed Embedded Self-shrinkers of Mean Curvature Flow
title_full Closed Embedded Self-shrinkers of Mean Curvature Flow
title_fullStr Closed Embedded Self-shrinkers of Mean Curvature Flow
title_full_unstemmed Closed Embedded Self-shrinkers of Mean Curvature Flow
title_sort closed embedded self-shrinkers of mean curvature flow
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s12220-023-01217-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7505
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score 8.893527

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