Details
| Original language | English |
|---|---|
| Pages (from-to) | 209-234 |
| Number of pages | 26 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 2019 |
| Issue number | 746 |
| Early online date | 21 May 2016 |
| Publication status | Published - 2019 |
Abstract
In this article we prove that a connected and properly embedded translating soliton in ℝ3 with uniformly bounded genus on compact sets which is C1-asymptotic to two planes outside a cylinder, either is flat or coincide with the grim reaper cylinder.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal fur die Reine und Angewandte Mathematik, Vol. 2019, No. 746, 2019, p. 209-234.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A characterization of the grim reaper cylinder
AU - Martín, Francisco
AU - Pérez-García, Jesús
AU - Savas-Halilaj, Andreas
AU - Smoczyk, Knut
N1 - Funding information: F. Martín and J. Pérez-García are partially supported by MINECO-FEDER grant no. MTM2014-52368-P. J. Pérez-García is also supported by MINECO (FPI grant, BES-2012-055302) and A. Savas-Halilaj and K. Smoczyk by DFG SM 78/6-1.
PY - 2019
Y1 - 2019
N2 - In this article we prove that a connected and properly embedded translating soliton in ℝ3 with uniformly bounded genus on compact sets which is C1-asymptotic to two planes outside a cylinder, either is flat or coincide with the grim reaper cylinder.
AB - In this article we prove that a connected and properly embedded translating soliton in ℝ3 with uniformly bounded genus on compact sets which is C1-asymptotic to two planes outside a cylinder, either is flat or coincide with the grim reaper cylinder.
UR - http://www.scopus.com/inward/record.url?scp=85058380981&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1508.01539
DO - 10.48550/arXiv.1508.01539
M3 - Article
AN - SCOPUS:85058380981
VL - 2019
SP - 209
EP - 234
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
SN - 0075-4102
IS - 746
ER -