On the topology of translating solitons of the mean curvature flow

被引：74

作者：

Martin, Francisco ^{[1
]}

Savas-Halilaj, Andreas ^{[2
,3
]}

Smoczyk, Knut ^{[2
,3
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

[2] Leibniz Univ Hannover, Inst Differentialgeometrie, D-30167 Hannover, Germany

[3] Leibniz Univ Hannover, Riemann Ctr Geometry & Phys, D-30167 Hannover, Germany

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 54卷 / 03期

关键词：

SURFACES; HYPERSURFACES;

D O I：

10.1007/s00526-015-0886-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present article we obtain classification results and topological obstructions for the existence of translating solitons of the mean curvature flow in euclidean space.

引用

页码：2853 / 2882

页数：30

共 50 条

[1] On the topology of translating solitons of the mean curvature flow
Francisco Martín
Andreas Savas-Halilaj
Knut Smoczyk
Calculus of Variations and Partial Differential Equations, 2015, 54 : 2853 - 2882
[2] Rigidity results and topology at infinity of translating solitons of the mean curvature flow
Impera, Debora
Rimoldi, Michele
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2017, 19 (06)
[3] Translating solitons of the mean curvature flow
Y. L. Xin
Calculus of Variations and Partial Differential Equations, 2015, 54 : 1995 - 2016
[4] Translating solitons of the mean curvature flow
Xin, Y. L.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (02) : 1995 - 2016
[5] Translating Solitons for the Inverse Mean Curvature Flow
Kim, Daehwan
Pyo, Juncheol
RESULTS IN MATHEMATICS, 2019, 74 (01)
[6] Properness of translating solitons for the mean curvature flow
Kim, Daehwan
Pyo, Juncheol
INTERNATIONAL JOURNAL OF MATHEMATICS, 2022, 33 (04)
[7] Translating Solitons for the Inverse Mean Curvature Flow
Daehwan Kim
Juncheol Pyo
Results in Mathematics, 2019, 74
[8] GAUSS MAPS OF TRANSLATING SOLITONS OF MEAN CURVATURE FLOW
Bao, Chao
Shi, Yuguang
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (12) : 4333 - 4339
[9] Translating Solitons of Mean Curvature Flow of Noncompact Submanifolds
Guanghan Li
Daping Tian
Chuanxi Wu
Mathematical Physics, Analysis and Geometry, 2011, 14 : 83 - 99
[10] Translating Solitons of Mean Curvature Flow of Noncompact Submanifolds
Li, Guanghan
Tian, Daping
Wu, Chuanxi
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2011, 14 (01) : 83 - 99

← 1 2 3 4 5 →