Double Bubbles in the Three-Torus
Carrión Álvarez, Miguel ; Corneli, Joseph ; Walsh, Genevieve ; Beheshti, Shabnam
Experiment. Math., Tome 12 (2003) no. 1, p. 79-89 / Harvested from Project Euclid
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We present a conjecture, based on computational results, on the area-minimizing method of enclosing and separating two arbitrary volumes in the flat cubic three-torus, $T^3$. For comparable small volumes, we prove that the standard double bubble from $R^3$ is area-minimizing.
Publié le : 2003-05-14
Classification:  Area minimization,  three-torus,  double bubble,  Surface Evolver,  49Q20,  49-04 
@article{1064858785,
     author = {Carri\'on \'Alvarez, Miguel and Corneli, Joseph and Walsh, Genevieve and Beheshti, Shabnam},
     title = {Double Bubbles in the Three-Torus},
     journal = {Experiment. Math.},
     volume = {12},
     number = {1},
     year = {2003},
     pages = { 79-89},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1064858785}
}

Carrión Álvarez, Miguel; Corneli, Joseph; Walsh, Genevieve; Beheshti, Shabnam. Double Bubbles in the Three-Torus. Experiment. Math., Tome 12 (2003) no. 1, pp.  79-89. http://gdmltest.u-ga.fr/item/1064858785/