Minimizing the squared mean curvature integral for surfaces in space forms
Hsu, Lucas ; Kusner, Rob ; Sullivan, John
Experiment. Math., Tome 1 (1992) no. 4, p. 191-207 / Harvested from Project Euclid
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We minimize a discrete version of the squared mean curvature integral for polyhedral surfaces in three-space, using Brakke's Surface Evolver [Brakke 1992]. Our experimental results support the conjecture that the smooth minimizers exist for each genus and are stereographic projections of certain minimal surfaces in the three-sphere.
Publié le : 1992-05-14
Classification:  53A10,  53-04,  53A05,  53C42 
@article{1048622023,
     author = {Hsu, Lucas and Kusner, Rob and Sullivan, John},
     title = {Minimizing the squared mean curvature integral for surfaces in space forms},
     journal = {Experiment. Math.},
     volume = {1},
     number = {4},
     year = {1992},
     pages = { 191-207},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1048622023}
}

Hsu, Lucas; Kusner, Rob; Sullivan, John. Minimizing the squared mean curvature integral for surfaces in space forms. Experiment. Math., Tome 1 (1992) no. 4, pp.  191-207. http://gdmltest.u-ga.fr/item/1048622023/