Geodesic
Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture
Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1

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Zbl  

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.
Mots-clés : symmetry breaking, isoperimetric 
Morgan, Frank. Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture. Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a3/
@article{AGMS_2016_4_1_a3,
     author = {Morgan, Frank},
     title = {Isoperimetric {Symmetry} {Breaking:} a {Counterexample} to a {Generalized} {Form} of the {Log-Convex} {Density} {Conjecture}},
     journal = {Analysis and Geometry in Metric Spaces},
     year = {2016},
     volume = {4},
     number = {1},
     zbl = {1355.53005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a3/}
}
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