pith. sign in

arxiv: math/0406017 · v1 · submitted 2004-06-01 · 🧮 math.DG · math.MG

Proof of the Double Bubble Conjecture

Michael Hutchings , Frank Morgan , Manuel Ritor\'e , Antonio Ros This is my paper
classification 🧮 math.DG math.MG
keywords bubbledoubleconjectureencloseleast-areaprescribedproofprove
0
0 comments X
read the original abstract

We prove that the standard double bubble provides the least-area way to enclose and separate two regions of prescribed volume in \Bbb R^3.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$

    math.AP 2026-04 unverdicted novelty 7.0

    For regular anisotropies the unique local minimizers of the anisotropic perimeter for (1,2) and (1,3) clusters in R^2 are the anisotropic lens and triod clusters respectively.

  2. The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$

    math.AP 2026-04 unverdicted novelty 7.0

    For regular anisotropies the lens cluster uniquely minimizes the anisotropic perimeter among (1,2)-clusters and the triod among (1,3)-clusters in R^2, with the result extended to general anisotropies by approximation.