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| Examples of compactλ-hypersurfaces in Euclidean spaces | |
| 作者姓名： | Qing-Ming Cheng Guoxin Wei |
| 作者单位： | Department of Applied Mathematics;School of Mathematical Sciences |
| 基金项目： | supported by JSPS Grant-in-Aid for Scientific Research(B)(Grant No.16H03937);Challenging Exploratory Research;supported by National Natural Science Foundation of China(Grant No.11771154);by Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2018)。 |
| 摘 要： | In this paper,we first construct compact embeddedλ-hypersurfaces with the topology of torus which are calledλ-torus in Euclidean spaces?n^+1.Then,we give many compact immersedλ-hypersurfaces in Euclidean spaces?n^+1. |
| 关 键 词： | the weighted area functional embeddedλ-hypersurfaces λ-torus |
Examples of compact λ-hypersurfaces in Euclidean spaces |
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| Qing-Ming Cheng,Guoxin Wei.Examples of compact λ-hypersurfaces in Euclidean spaces[J].中国科学 数学(英文版),2021,64(1):155-166. | |
| Authors: | Cheng Qing-Ming Wei Guoxin |
| Institution: | 1.Department of Applied Mathematics, Faculty of Sciences, Fukuoka University, Fukuoka, 814-0180, Japan ;2.School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China ; |
| Abstract: | Science China Mathematics - In this paper, we first construct compact embedded λ-hypersurfaces with the topology of torus which are called λ-torus in Euclidean spaces ?n+1. Then, we... |
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