Letting Γ be an embedded curve in a Riemannian manifold M, we prove the existence of minimal disc-type surfaces centered at Γ inside 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. © 2008 Elsevier Ltd. All rights reserved.
Foliations of small tubes in Riemannian manifolds by capillary minimal discs / Fall, M. M.; Mercuri, C.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 70:12(2009), pp. 4422-4440. [10.1016/j.na.2008.10.024]
Foliations of small tubes in Riemannian manifolds by capillary minimal discs
Mercuri C.
2009
Abstract
Letting Γ be an embedded curve in a Riemannian manifold M, we prove the existence of minimal disc-type surfaces centered at Γ inside 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. © 2008 Elsevier Ltd. All rights reserved.
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