Complete 3-dimensional λ-translators in the Euclidean space R4

被引：2
|
作者：
Li, Zhi [1 ,2 ]
Wei, Guoxin [2 ]
Chen, Gangyi [3 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
[3] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
来源：
JOURNAL OF TOPOLOGY AND ANALYSIS | 2024年 / 16卷 / 01期
关键词：
Second fundamental form; lambda-translator; the generalized maximum principle; MEAN-CURVATURE FLOW; SELF-SHRINKERS; SINGULARITIES; SURFACES; SOLITONS;
D O I：
10.1142/S1793525321500540
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain the classification theorems for 3-dimensional complete lambda-translators x: M-3 -> R-4 with constant squared norm S of the second fundamental form and constant f(4) in the Euclidean space R-4.
引用
收藏
页码：71 / 124
页数：54
相关论文
共 34 条
  • [1] Complete 3-dimensional A-translators in the Minkowski space R1
    Li, Zhi
    Wei, Guoxin
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2023, 75 (01) : 119 - 150
  • [2] Classification of complete 3-dimensional self-shrinkers in the Euclidean space R4
    Cheng, Qing-Ming
    Li, Zhi
    Wei, Guoxin
    SCIENCE CHINA-MATHEMATICS, 2024, 67 (04) : 873 - 882
  • [3] Complete Self-expanders in the Euclidean Space R4
    Li, Zhi
    Mi, Yuan
    RESULTS IN MATHEMATICS, 2025, 80 (01)
  • [4] Classification of complete 3-dimensional self-shrinkers in the Euclidean space ℝ4
    Qing-Ming Cheng
    Zhi Li
    Guoxin Wei
    Science China Mathematics, 2024, 67 : 873 - 882
  • [5] Classification of noncollapsed translators in R4
    Choi, Kyeongsu
    Haslhofer, Robert
    Hershkovits, Or
    CAMBRIDGE JOURNAL OF MATHEMATICS, 2023, 11 (03) : 563 - 698
  • [6] Complete Lagrangian self-shrinkers in R4
    Cheng, Qing-Ming
    Hori, Hiroaki
    Wei, Guoxin
    MATHEMATISCHE ZEITSCHRIFT, 2022, 301 (04) : 3417 - 3468
  • [7] COMPLETE λ- HYPERSURFACES WITH CONSTANT SQUARED NORM OF THE SECOND FUNDAMENTAL FORM IN THE EUCLIDEAN SPACE R 4
    Li, Zhi
    COLLOQUIUM MATHEMATICUM, 2024, 175 (02) : 187 - 210
  • [8] Classification Theorems of Complete Space-Like Lagrangian ξ-Surfaces in the Pseudo-Euclidean Space R42
    Li, Xingxiao
    Qiao, Ruina
    Liu, Yangyang
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2021, 52 (04): : 863 - 878
  • [9] 2-Dimensional complete self-shrinkers in R3
    Cheng, Qing-Ming
    Ogata, Shiho
    MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (1-2) : 537 - 542
  • [10] Bertrand curves in 3-dimensional space forms
    Choi, Jin Ho
    Kang, Tae Ho
    Kim, Young Ho
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (03) : 1040 - 1046
1234