Counterexample to the convexity of level sets of solutions to the mean curvature equation

@article{Wang2014,
abstract = {The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.},
author = {Wang, Xu-Jia},
journal = {Journal of the European Mathematical Society},
keywords = {mean curvature; convexity; level set; mean curvature; convexity; level set},
language = {eng},
number = {6},
pages = {1173-1182},
publisher = {European Mathematical Society Publishing House},
title = {Counterexample to the convexity of level sets of solutions to the mean curvature equation},
url = {http://eudml.org/doc/277207},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Wang, Xu-Jia
TI - Counterexample to the convexity of level sets of solutions to the mean curvature equation
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 6
SP - 1173
EP - 1182
AB - The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
LA - eng
KW - mean curvature; convexity; level set; mean curvature; convexity; level set
UR - http://eudml.org/doc/277207
ER -