Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension

被引：0

作者：

Qiu, Hongbing ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 02期

关键词：

HARMONIC MAPS; SINGULARITIES; MANIFOLDS; RIGIDITY; SURFACES;

D O I：

10.1007/s00526-024-02663-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By carrying out point-wise estimates for the mean curvature, we prove Bernstein type theorems of complete translating solitons of the mean curvature flow in higher codimension under various geometric conditions.

引用

页数：12

共 50 条

[41] Translating solitons to symplectic mean curvature flows
Xiaoli Han
Jun Sun
Annals of Global Analysis and Geometry, 2010, 38 : 161 - 169
[42] Maximum Principles Applied to Translating Solitons of the Mean Curvature Flow in Product Spaces
Batista, Marcio
de Lima, Henrique F.
RESULTS IN MATHEMATICS, 2023, 78 (02)
[43] Translating Solitons of the Mean Curvature Flow Asymptotic to Hyperplanes in Rn+1
Gama, Eddygledson S.
Martin, Francisco
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020, 2020 (24) : 10114 - 10153
[44] Rotationally symmetric spacelike translating solitons for the mean curvature flow in Minkowski space
Kim, Daehwan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 488 (02)
[45] Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
Jian, HY
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 220 (01) : 147 - 162
[46] Self-shrinkers and Translating Solitons Related to the Anisotropic Mean Curvature Flow
Velasquez, Marco A. L.
de Lima, Henrique F.
de Lacerda, Jose H. H.
POTENTIAL ANALYSIS, 2024,
[47] SELF-SIMILAR SOLUTIONS AND TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW
Joyce, Dominic
Lee, Yng-Ing
Tsui, Mao-Pei
JOURNAL OF DIFFERENTIAL GEOMETRY, 2010, 84 (01) : 127 - 161
[48] Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density†
Batista, Marcio
Bisci, Giovanni Molica
de Lima, Henrique
MATHEMATICS IN ENGINEERING, 2023, 5 (03): : 1 - 18
[49] Maximum Principles Applied to Translating Solitons of the Mean Curvature Flow in Product Spaces
Márcio Batista
Henrique F. de Lima
Results in Mathematics, 2023, 78
[50] A BERNSTEIN TYPE THEOREM OF ANCIENT SOLUTIONS TO THE MEAN CURVATURE FLOW
Kunikawa, Keita
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (03) : 1325 - 1333

← 1 2 3 4 5 →