首页|Classification of complete 3-dimensional self-shrinkers in the Euclidean space R4

Classification of complete 3-dimensional self-shrinkers in the Euclidean space R4

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In this paper,we completely classify 3-dimensional complete self-shrinkers with the constant norm S of the second fundamental form and the constant f3 in the Euclidean space R4,where hij's are components of the second fundamental form,S=Σi,jh2ij and f3=Σi,j,khijhjkhki.

mean curvature flowself-shrinkerthe generalized maximum principle

Qing-Ming Cheng、Zhi Li、Guoxin Wei

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Department of Applied Mathematics,Faculty of Science,Fukuoka University,Fukuoka 814-0180,Japan

College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China

School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China

Japan Society for the Promotion of Science(JSPS)Grantin-Aid for Scientific ResearchJapan Society for the Promotion of Science(JSPS)Grantin-Aid for Scientific Researchfund of Fukuoka University中国博士后科学基金国家自然科学基金Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2018)广东省自然科学基金

16H0393722K033032250012022M711074121711642023A1515010510

2024

中国科学:数学(英文版)
中国科学院

中国科学:数学(英文版)

CSTPCD
影响因子:0.36
ISSN:1674-7283
年,卷(期):2024.67(4)
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