A characterization of the grim reaper cylinder

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Francisco Martín
  • Jesús Pérez-García
  • Andreas Savas-Halilaj
  • Knut Smoczyk

Externe Organisationen

  • University of Granada
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)209-234
Seitenumfang26
FachzeitschriftJournal fur die Reine und Angewandte Mathematik
Jahrgang2019
Ausgabenummer746
Frühes Online-Datum21 Mai 2016
PublikationsstatusVeröffentlicht - 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 Sachgebiete

Zitieren

A characterization of the grim reaper cylinder. / Martín, Francisco; Pérez-García, Jesús; Savas-Halilaj, Andreas et al.
in: Journal fur die Reine und Angewandte Mathematik, Jahrgang 2019, Nr. 746, 2019, S. 209-234.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Martín F, Pérez-García J, Savas-Halilaj A, Smoczyk K. A characterization of the grim reaper cylinder. Journal fur die Reine und Angewandte Mathematik. 2019;2019(746):209-234. Epub 2016 Mai 21. doi: 10.48550/arXiv.1508.01539, 10.1515/crelle-2016-0011
Martín, Francisco ; Pérez-García, Jesús ; Savas-Halilaj, Andreas et al. / A characterization of the grim reaper cylinder. in: Journal fur die Reine und Angewandte Mathematik. 2019 ; Jahrgang 2019, Nr. 746. S. 209-234.
Download
@article{417549b367f34d16871e2081ddee2d9a,
title = "A characterization of the grim reaper cylinder",
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.",
author = "Francisco Mart{\'i}n and Jes{\'u}s P{\'e}rez-Garc{\'i}a and Andreas Savas-Halilaj and Knut Smoczyk",
note = "Funding information: F. Mart{\'i}n and J. P{\'e}rez-Garc{\'i}a are partially supported by MINECO-FEDER grant no. MTM2014-52368-P. J. P{\'e}rez-Garc{\'i}a is also supported by MINECO (FPI grant, BES-2012-055302) and A. Savas-Halilaj and K. Smoczyk by DFG SM 78/6-1.",
year = "2019",
doi = "10.48550/arXiv.1508.01539",
language = "English",
volume = "2019",
pages = "209--234",
journal = "Journal fur die Reine und Angewandte Mathematik",
issn = "0075-4102",
publisher = "Walter de Gruyter GmbH",
number = "746",

}

Download

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 -

Von denselben Autoren