Closed Embedded Self-shrinkers of Mean Curvature Flow
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s12220-023-01217-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7505 |
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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 |
| _version_ |
1762274900782874624 |
| score |
8.891145 |