The H-flow translating solitons in R^3 and R^4
Differential Geometry
2012-05-22 v3 Analysis of PDEs
Abstract
Motivated by Ilmanen's correspondence, we present an explicit solution to the prescribed Hoffman-Osserman Gauss map problem for non-minimal translators to the mean curvature flow in Euclidean 4-space. We propose a conjecture on the non-existence of Jenkins-Serrin type unit-speed graphical translators.
Keywords
Cite
@article{arxiv.1204.0243,
title = {The H-flow translating solitons in R^3 and R^4},
author = {Hojoo Lee},
journal= {arXiv preprint arXiv:1204.0243},
year = {2012}
}
Comments
Example 3 and an acknowledgement are added. As an application of our prescribed Gauss map representation of translators in R^4, we explicitly determine the Hoffman-Osserman Gauss map of the Hamiltonian stationary Lagrangian translator in C^2