A Rigidity Theorem for Stable Minimal Hypercones

Wickramasekera, Neshan

J. Differential Geom., Tome 66 (2004) no. 3, p. 433-514 / Harvested from Project Euclid

Résumé

We prove that any cone having vertex density strictly between 1 and 3, occurring as the weak limit of a sequence of oriented, immersed, stable minimal hypersurfaces and lying near a pair of hyperplanes must itself be a pair of hyperplanes.

Publié le : 2004-11-14
Classification:

@article{1115669592,
     author = {Wickramasekera, Neshan},
     title = {A Rigidity Theorem for Stable Minimal Hypercones},
     journal = {J. Differential Geom.},
     volume = {66},
     number = {3},
     year = {2004},
     pages = { 433-514},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1115669592}
}

Wickramasekera, Neshan. A Rigidity Theorem for Stable Minimal Hypercones. J. Differential Geom., Tome 66 (2004) no. 3, pp.  433-514. http://gdmltest.u-ga.fr/item/1115669592/