## The double bubble conjecture.(English)Zbl 0864.53007

The authors prove that the least area surface enclosing two equal volumes is a double bubble, a surface made of two pieces of round spheres separated by a flat disk, meeting along a single circle at an angle of $$2\pi/3$$.
The proof builds upon techniques mainly due to F. Almgren and J. Taylor as well as those of B. White and F. Morgan. The ideas are discussed in a clear manner.

### MSC:

 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 49Q10 Optimization of shapes other than minimal surfaces 49Q20 Variational problems in a geometric measure-theoretic setting
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### References:

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