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

页码：71 / 124

页数：54

共 34 条

[21] Isometric deformations of the κ1/4-flow translators in R3 with helicoidal symmetry [J].

Lee, Hojoo .

COMPTES RENDUS MATHEMATIQUE, 2013, 351 (11-12) :477-482

[22] Rotational hypersurfaces family satisfying Ln-3G=AG in the n-dimensional Euclidean space [J].

Guler, Erhan ;

Turgay, Nurettin Cenk .

ADVANCES IN APPLIED MATHEMATICS, 2025, 167

[23] On minimal immersions of a singular non-CSC extremal Kahler metric into 3-dimensional space forms [J].

Wei, Zhiqiang ;

Wu, Yingyi .

GEOMETRIAE DEDICATA, 2023, 217 (02)

[24] A conformal boundary for space-times based on light-like geodesics: The 3-dimensional case [J].

Bautista, A. ;

Ibort, A. ;

Lafuente, J. ;

Low, R. .

JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (02) :022503

[25] Complete Space-like λ-surfaces in the Minkowski Space R1~3 with the Second Fundamental Form of Constant Length [J].

Xing Xiao LI ;

Yang Yang LIU ;

Rui Na QIAO .

Acta Mathematica Sinica,English Series, 2020, (05) :559-577

[26] SPACELIKE CONSTANT MEAN CURVATURE AND MAXIMAL SURFACES IN 3-DIMENSIONAL DE SITTER SPACE VIA IWASAWA SPLITTING [J].

Ogata, Yuta .

TSUKUBA JOURNAL OF MATHEMATICS, 2016, 39 (02) :259-284

[27] Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form [J].

Aledo, JA ;

Romero, A .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2003, 19 (01) :97-111

[28] Complete Lagrangian self-shrinkers in R4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf {R}}^4$$\end{document} [J].

Qing-Ming Cheng ;

Hiroaki Hori ;

Guoxin Wei .

Mathematische Zeitschrift, 2022, 301 (4) :3417-3468

[29] COMPREHENSIVE STUDY OF PARAMETERS FOR CHARACTERIZING 3-DIMENSIONAL SURFACE-TOPOGRAPHY .4. PARAMETERS FOR CHARACTERIZING SPATIAL AND HYBRID PROPERTIES [J].

DONG, WP ;

SULLIVAN, PJ ;

STOUT, KJ .

WEAR, 1994, 178 (1-2) :45-60

[30] 2-Dimensional complete self-shrinkers in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {R}^3$$\end{document} [J].

Qing-Ming Cheng ;

Shiho Ogata .

Mathematische Zeitschrift, 2016, 284 :537-542

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