Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture
Analysis and Geometry in Metric Spaces (2016)
- Volume: 4, Issue: 1, page 314-316, electronic only
- ISSN: 2299-3274
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topFrank Morgan. "Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture." Analysis and Geometry in Metric Spaces 4.1 (2016): 314-316, electronic only. <http://eudml.org/doc/287107>.
@article{FrankMorgan2016,
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.},
author = {Frank Morgan},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {symmetry breaking; isoperimetric},
language = {eng},
number = {1},
pages = {314-316, electronic only},
title = {Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture},
url = {http://eudml.org/doc/287107},
volume = {4},
year = {2016},
}
TY - JOUR
AU - Frank Morgan
TI - Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture
JO - Analysis and Geometry in Metric Spaces
PY - 2016
VL - 4
IS - 1
SP - 314
EP - 316, electronic only
AB - 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.
LA - eng
KW - symmetry breaking; isoperimetric
UR - http://eudml.org/doc/287107
ER -
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