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

Xu Jia Wang

doi:10.4171/JEMS/457

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

Xu Jia Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1173-1182
Number of pages	10
Journal	Journal of the European Mathematical Society
Volume	16
Issue number	6
DOIs	https://doi.org/10.4171/JEMS/457
Publication status	Published - 2014

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title = "Counterexample to the convexity of level sets of solutions to the mean curvature equation",

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.",

keywords = "Convexity, Level set, Mean curvature",

author = "Wang, {Xu Jia}",

year = "2014",

doi = "10.4171/JEMS/457",

language = "English",

volume = "16",

pages = "1173--1182",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

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AU - Wang, Xu Jia

PY - 2014

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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.

KW - Convexity

KW - Level set

KW - Mean curvature

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DO - 10.4171/JEMS/457

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VL - 16

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EP - 1182

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 6

ER -

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

Abstract

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