A survey of the geometric results in the classical theory of minimal surfaces

Boletim da Sociedade Brasileira de Matemática

Volumn 12, Issue 1, 1981, Pages 29-86

  Meeks III, William H ^a  

^a IMPA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 51249181123     PISSN: 01003569     EISSN: 16787714     Source Type: Journal    
DOI: 10.1007/BF02588319     Document Type: Article

References (120)

1. The Lp approach to the Dirichlet problem
2. Examples of unknotted curves which bound only surfaces of high genus within their convex hulls
3. A unique continuation theorem for solutions of elliptic partial differential equations of inequalities of second order
4. On the size of a stable minimal surface in R3
5. Sur un théoreme de géométrie et ses applications aux équations aux dérivées partielles du type elliptique
6. Survey of local properties of solutions of elliptic partial differential equations
7. Minimal cones and the Bernstein problem
8. Isometric imbeddings of complex manifolds
9. Complete minimal surfaces in Euclidean n-space
10. Solution of the problem of Plateau
11. Projective Planes in 3-manifolds
12. Normal and integral currents
13. Manifolds with positive curvature
14. Über die Dimension einer Minimalfäche und zur Ungleichung von St. Cohn-Vossen
15. Über Abelsche Minimalflächen
16. Regularity of minimizing surfaces of prescribed mean curvature
17. On boundary branch points of minimizing surfaces
18. A theory of branched immersions for surfaces
19. On embedded minimal surfaces
20. Boundary regularity and embedded solutions for the oriented Plateau problem
21. Some remarks on minimal surfaces in Riemannian manifolds
22. Boundary behavior of minimal surfaces
23. The unknottedness of minimal embeddings
24. Minimal Varieties
25. On the boundary behavior of minimal surfaces
26. Triangulation of semianalytic sets
27. The conformal structure and geometry of triply periodic minimal surfaces in ℝ3
28. Almost every curve in ℝ3 bounds a unique area minimizing surface
29. The problem of Plateau in a Riemannian manifold
30. Existence of minimal surfaces of general critical type
31. Periodic minimal surfaces I.
32. A new uniqueness theorem for minimal surfaces
33. Concerning the isolated character of solutions of Plateau's problem
34. The boundary behavior of minimal surfaces, Kellogg's theorem and branch points on the boundary
35. Some new results in the theory of minimal surfaces
36. A proof of the regularity everywhere of the classical solution to Plateau's problem
37. Minimal varieties
38. Global properties of minimal surfaces in E3 and En
39. On Dehn's lemma and asphericity of knots
40. On Plateau's problem
41. Contributions to the theory of minimal surfaces
42. Asymptotic behavior of non-parametric minimal hypersurfaces
43. On the proof of the positive mass conjecture in general relativity
44. A proof and extension of Dehn's lemma
45. The Plateau problem for non-relative minima
46. Unstable minimal surfaces with an rectifiable boundary
47. On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes
48. Minimal varieties in Riemannian manifolds
49. On the local uniqueness of the problem of least area
50. Plateau's problem for embedded minimal surfaces of the type of the disk
51. Extreme curves bound embedded minimal surfaces of the type of the disk
52. Heegard splittings of the 3-sphere
53. On 2-spheres in 3-manifolds