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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The topology of complete one-ended minimal surfaces and Heegaard surfaces in ${\text {R}}^3$
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by Charles Frohman and William H. Meeks III PDF
Bull. Amer. Math. Soc. 23 (1990), 417-421
References
  • Michael Callahan, David Hoffman, and William H. Meeks III, The structure of singly-periodic minimal surfaces, Invent. Math. 99 (1990), no. 3, 455–481. MR 1032877, DOI 10.1007/BF01234428
  • T. Frankel, On the fundamental group of a compact minimal submanifold, Ann. of Math. (2) 83 (1966), 68–73. MR 187183, DOI 10.2307/1970471
  • Michael Freedman, Joel Hass, and Peter Scott, Least area incompressible surfaces in $3$-manifolds, Invent. Math. 71 (1983), no. 3, 609–642. MR 695910, DOI 10.1007/BF02095997
  • Charles Frohman, The topological uniqueness of triply periodic minimal surfaces in $\textbf {R}^3$, J. Differential Geom. 31 (1990), no. 1, 277–283. MR 1030674
  • [5] C. Frohman and W. H. Meeks III, The ordering theorem for the ends of properly embedded minimal surfaces, preprint. [6] C. Frohman and W. H. Meeks III, The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in R3, preprint.
  • Wolfgang Haken, Some results on surfaces in $3$-manifolds, Studies in Modern Topology, Math. Assoc. America, Buffalo, N.Y.; distributed by Prentice-Hall, Englewood Cliffs, N.J., 1968, pp. 39–98. MR 0224071
  • [8] D. Hoffman and W. H. Meeks III, The strong halfspace theorem for minimal surfaces, Invent. Math. 5, 39-98.
  • H. Blaine Lawson Jr., The unknottedness of minimal embeddings, Invent. Math. 11 (1970), 183–187. MR 287447, DOI 10.1007/BF01404649
  • William H. Meeks III, The topological uniqueness of minimal surfaces in three-dimensional Euclidean space, Topology 20 (1981), no. 4, 389–410. MR 617373, DOI 10.1016/0040-9383(81)90021-5
  • [11] W. H. Meeks III, L. Simon, and S. T. Yau, The existence of embedded minimal surfaces, exotic spheres and positive Ricci curvature, Ann. of Math. 116 (1982), 221-259. [12] W. H. Meeks III and S. T. Yau, The topological uniqueness theorem of complete minimal surfaces of finite topological type, preprint.
  • Richard Schoen, Estimates for stable minimal surfaces in three-dimensional manifolds, Seminar on minimal submanifolds, Ann. of Math. Stud., vol. 103, Princeton Univ. Press, Princeton, NJ, 1983, pp. 111–126. MR 795231
  • Friedhelm Waldhausen, Heegaard-Zerlegungen der $3$-Sphäre, Topology 7 (1968), 195–203 (German). MR 227992, DOI 10.1016/0040-9383(68)90027-X
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 23 (1990), 417-421
  • MSC (1985): Primary 53A10, 57M99
  • DOI: https://doi.org/10.1090/S0273-0979-1990-15947-6
  • MathSciNet review: 1033085