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Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture
Analysis and Geometry in Metric Spaces ( IF 1 ) Pub Date : 2016-12-05 , DOI: 10.1515/agms-2016-0014
Frank Morgan 1
Affiliation  

Abstract We give an example of a smooth surface of revolution for which all circles about the origin are strictly stable for fixed area but small isoperimetric regions are nearly round discs away from the origin.

中文翻译:

等周对称破缺:对数凸密度猜想的广义形式的反例

摘要 我们给出了一个光滑的旋转表面的例子,其中所有关于原点的圆对于固定区域都是严格稳定的,但小的等周区域离原点几乎是圆盘。
更新日期:2016-12-05
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