Publications at the Riemann Center

A characterization of the grim reaper cylinder

Authored by

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

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.

Details

Organisation(s)
Institute of Differential Geometry
Riemann Center for Geometry and Physics
External Organisation(s)
University of Granada
Type
Article
Journal
Journal fur die Reine und Angewandte Mathematik
Volume
2019
Pages
209-234
No. of pages
26
ISSN
0075-4102
Publication date
2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
General Mathematics, Applied Mathematics
Electronic version(s)
https://doi.org/10.48550/arXiv.1508.01539 (Access: Open )
https://doi.org/10.1515/crelle-2016-0011 (Access: Closed )
PDF
PDF