Project Euclid

References

• [1] M. Callahan, D. Hoffman, and W. H. Meeks, III, Embedded minimal surfaces with an infinite number of ends, Invent. Math. 96 (1989) 459-505.
  Zentralblatt MATH: 0676.53004
  Mathematical Reviews (MathSciNet): MR996552
  Digital Object Identifier: doi:10.1007/BF01393694
  
• [2] M. do Carmo and C. K. Peng, Stable minimal surfaces in R3 are planes, Bull. Amer. Math. Soc. 1 (1979) 903-906.
  Zentralblatt MATH: 0442.53013
  Mathematical Reviews (MathSciNet): MR546314
  Digital Object Identifier: doi:10.1090/S0273-0979-1979-14689-5
  Project Euclid: euclid.bams/1183544900
  
• [3] D. Fischer-Colbrie, On complete minimal surfaceswith finite Morse index in 3-manifolds, Invent. Math. 82 (1985) 121-132.
  Zentralblatt MATH: 0573.53038
  Mathematical Reviews (MathSciNet): MR808112
  Digital Object Identifier: doi:10.1007/BF01394782
  
• [4] D. Fischer-Colbrie and R. Schoen, The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature, Comm. Pure Appl. Math. 33 (1980) 199-211.
  Zentralblatt MATH: 0439.53060
  Mathematical Reviews (MathSciNet): MR562550
  Digital Object Identifier: doi:10.1002/cpa.3160330206
  
• [5] D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, second ed., Springer, New York, 1983.
  Zentralblatt MATH: 0562.35001
  Mathematical Reviews (MathSciNet): MR737190
  
• [6] D. Hoffman and W. H. Meeks, III, Embedded minimal surfacesof finite topology, Ann. of Math, (to appear).
  Zentralblatt MATH: 0695.53004
  
• [7] D. Hoffman and W. H. Meeks, III, The asymptotic behavior of properly embedded minimal surfaces of finite topology, J. Amer. Math. Soc. 2 (1989) 667-682.
  Zentralblatt MATH: 0683.53005
  Mathematical Reviews (MathSciNet): MR1002088
  Digital Object Identifier: doi:10.2307/1990892
  JSTOR: links.jstor.org
  
• [8] R. Langevin and H. Rosenberg, A maximum principle at infinity for minimal surfaces and applications, Duke Math. J. 57 (1988) 819-828.
  Zentralblatt MATH: 0667.49024
  Mathematical Reviews (MathSciNet): MR975123
  Digital Object Identifier: doi:10.1215/S0012-7094-88-05736-5
  Project Euclid: euclid.dmj/1077307214
  
• [9] H. B. Lawson, Jr., Complete minimal surfaces in S3, Ann. of Math. (2) 92 (1970) 335-374.
  Zentralblatt MATH: 0205.52001
  Mathematical Reviews (MathSciNet): MR270280
  Digital Object Identifier: doi:10.2307/1970625
  JSTOR: links.jstor.org
  
• [10] W. H. Meeks, III and H. Rosenberg, The maximum principle at infinity for minimal surfaces in flat three-manifolds, to appear in Comment. Math. Helv.
  Zentralblatt MATH: 0713.53008
  Mathematical Reviews (MathSciNet): MR1057243
  Digital Object Identifier: doi:10.1007/BF02566606
  
• [11] W. H. Meeks, III and S. T. Yau, The existence of embedded minimal surfaces and the problems of uniqueness, Math. Z. 179 (1982) 151-168.
  Zentralblatt MATH: 0479.49026
  Mathematical Reviews (MathSciNet): MR645492
  Digital Object Identifier: doi:10.1007/BF01214308
  
• [12] W. H. Meeks, III and S. T. Yau, The topological uniqueness theorem for complete minimal surfaces of finite topological type, preprint.
  Zentralblatt MATH: 0761.53006
  
• [13] R. Osserman, A survey of minimal surfaces, 2nd ed., Dover, New York, 1986.
  Zentralblatt MATH: 0209.52901
  Mathematical Reviews (MathSciNet): MR852409
  
• [14] B. Riemann, Oevres mathematiques de Riemann, Gauthiers-Villars, Paris, 1898.
• [15] R. Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Differential Geometry 18 (1983) 791-809.
  Zentralblatt MATH: 0575.53037
  Mathematical Reviews (MathSciNet): MR730928
  Project Euclid: euclid.jdg/1214438183
  
• [16] L. Simon, Lectures on geometric measure theory, Vol. 3, Proc. Center for Math. Analysis, Australian National University, Canberra, Australia, 1983.
  Zentralblatt MATH: 0546.49019
  Mathematical Reviews (MathSciNet): MR756417