Complete properly embedded minimal surfaces in R3

Duke Mathematical Journal

Volumn 107, Issue 2, 2001, Pages 421-426

  Colding, Tobias H ^a   Minicozzi, William P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010293195     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-01-10726-6     Document Type: Article

References (12)

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3. [CM2] _, "Embedded minimal surfaces without area bounds in $3$-manifolds" in Geometry and Topology (Aarhus, 1998), Contemp. Math. 258, Amer. Math. Soc., Providence, 2000, 107-120.
4. [CM3] _, Minimal Surfaces, Courant Lect. Notes Math. 4, New York Univ., New York, 1999.
5. [CM4] _, Convergence and compactness of minimal surfaces without density bounds, I: Partial regularity and convergence, preprint, 2000.
6. [CMS] _, Convergence and compactness of minimal surfaces without density bounds, II: Compactness and removable singularities, in preparation.
7. [CM6] _, Convergence and compactness of minimal surfaces without density bounds, III: Morse index bounds and applications to topology, in preparation.
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10. [Me] W. H. Meeks III, "The geometry, topology, and existence of periodic minimal surfaces" in Differential Geometry: Partial Differential Equations on Manifolds (Los Angeles, 1990), Proc. Sympos. Pure Math. 54, Part 1, ed. R. Greene and S. T. Yau, Amer. Math. Soc., Providence, 1993, 333-374.
11. [MeR] W. H. Meeks III and H. Rosenberg, The geometry and conformal structure of properly embedded minimal surfaces of finite topology in $\RR∧3$, Invent. Math. 114 (1993), 625-639.
12. [OsS] R. Osserman and M. Schiffer, Doubly-connected minimal surfaces, Arch. Rational Mech. Anal. 58 (1975), 285-307.