Geodesic
Counterexample to the convexity of level sets of solutions to the mean curvature equation
Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1173-1182

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/457
Classification : 35-XX
Keywords: Mean curvature, convexity, level set 
@article{JEMS_2014_16_6_a1,
     author = {Xu-Jia Wang},
     title = {Counterexample to the convexity of level sets of solutions to the mean curvature equation},
     journal = {Journal of the European Mathematical Society},
     pages = {1173--1182},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2014},
     doi = {10.4171/jems/457},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/457/}
}
TY  - JOUR
AU  - Xu-Jia Wang
TI  - Counterexample to the convexity of level sets of solutions to the mean curvature equation
JO  - Journal of the European Mathematical Society
PY  - 2014
SP  - 1173
EP  - 1182
VL  - 16
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/457/
DO  - 10.4171/jems/457
ID  - JEMS_2014_16_6_a1
ER  - 
%0 Journal Article
%A Xu-Jia Wang
%T Counterexample to the convexity of level sets of solutions to the mean curvature equation
%J Journal of the European Mathematical Society
%D 2014
%P 1173-1182
%V 16
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/457/
%R 10.4171/jems/457
%F JEMS_2014_16_6_a1
Xu-Jia Wang. Counterexample to the convexity of level sets of solutions to the mean curvature equation. Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1173-1182. doi: 10.4171/jems/457

Cité par Sources :