Title | Foliations of small tubes in Riemannian manifolds by capillary minimal discs |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | Fall, MMoustapha, Mercuri, C |
Journal | Nonlinear Analysis: Theory, Methods & Applications |
Volume | 70 |
Pagination | 4422–4440 |
Abstract | Letting Γ be an embedded curve in a Riemannian manifold M, we prove the existence of minimal disc-type surfaces centered at Γinside the surface of revolution of M around Γ, having small radius, and intersecting it with constant angles. In particular we obtain that small tubular neighborhoods can be foliated by minimal discs. |
URL | https://doi.org/10.1016/j.na.2008.10.024 |
DOI | 10.1016/j.na.2008.10.024 |
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