Classification of complete 3-dimensional self-shrinkers in the Euclidean space R^(4)

作     者：Qing-Ming Cheng Zhi Li Guoxin Wei 

作者机构：Department of Applied MathematicsFaculty of ScienceFukuoka UniversityFukuoka 814-0180Japan College of Mathematics and Information ScienceHenan Normal UniversityXinxiang 453007China School of Mathematical SciencesSouth China Normal UniversityGuangzhou 510631China 

出 版 物：《Science China Mathematics》 (中国科学（数学）（英文版）)

年 卷 期：2024年第67卷第4期

页      面：873-882页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by Japan Society for the Promotion of Science(JSPS)Grant-in-Aid for Scientific Research(Grant Nos.16H03937 and 22K03303) the Fund of Fukuoka University(Grant No.225001) supported by China Postdoctoral Science Foundation(Grant No.2022M711074) supported by National Natural Science Foundation of China(Grant No.12171164) Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2018) Guangdong Natural Science Foundation(Grant No.2023A1515010510) 

主　　题：mean curvature ow self-shrinker the generalized maximum principle 

摘      要：In this paper,we completely classify 3-dimensional complete self-shrinkers with the constant norm S of the second fundamental form and the constant f3in the Euclidean space R^(4),where hij’s are components of the second fundamental form,S=∑i,jhij2and f3=∑i,j,khijhjkhki.