Convergence of embedded minimal surfaces without area bounds in three-manifolds

Author:

Colding Tobias H.,Minicozzi William P.

Publisher

Elsevier BV

Subject

Pharmacology (medical)

Reference18 articles.

1. Curvature estimates and compactness theorems for minimal surfaces in 3-manifolds;Anderson;Ann. Sci. éc. Norm. Super. IV. Ser.,1985

2. On the Structure of Spaces with Ricci Curvatures Bounded Below; I;Cheeger;J. Differ. Geom.,1997

3. The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature;Choi;Invent. Math.,1985

4. Colding T.H., Minicozzi II W.P., Convergence and compactness of minimal surfaces without density bounds; I. Partial regularity and convergence (to appear).

5. Colding T.H., Minicozzi II W.P., Convergence and compactness of minimal surfaces without density bounds; II. Compactness and applications to topology (to appear).

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Surfaces of bounded mean curvature in Riemannian manifolds;Transactions of the American Mathematical Society;2011-08-01

2. Minimal Surfaces;Grundlehren der mathematischen Wissenschaften;2010

3. The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected;Annals of Mathematics;2004-09-01

4. Complete properly embedded minimal surfaces in $\mathbf{R}^3$;Duke Mathematical Journal;2001-04-01

5. Removable singularities for minimal limit laminations;Comptes Rendus de l'Académie des Sciences - Series I - Mathematics;2000-09

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