Double bubbles in Gauss space and spheres

• Autores: Joe Corneli, Ivan Corwin, Y. Xu, Stephanie Hurder, Vojislav Sesum, Elizabeth Adams, Diana Davis, Michelle Lee, Regina Pettit, Neil Hoffman
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 1, 2008, págs. 181-204
• Idioma: inglés
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• Resumen

  • 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%