We prove that a standard Y is an area-minimizing partition of Gauss space into three given volumes, provided that the standard double bubble is an area-minimizing partition of high-dimensional spheres. We prove that the standard double bubble is the area-minimizing partition of spheres of any dimension where the volumes differ by at most 4%.
|Original language||English (US)|
|Number of pages||24|
|Journal||Houston Journal of Mathematics|
|State||Published - May 21 2008|
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