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.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

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 
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     author = {Morgan, Frank},
     title = {Isoperimetric {Symmetry} {Breaking:} a {Counterexample} to a {Generalized} {Form} of the {Log-Convex} {Density} {Conjecture}},
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     year = {2016},
     zbl = {1355.53005},
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     url = {http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a3/}
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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/