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Conformal geometry and complete minimal surfaces
Author(s):
Rob
Kusner
Journal:
Bull. Amer. Math. Soc.
17
(1987),
291-295.
MSC (1985):
Primary 53A10, 49F10, 57R42
MathSciNet review:
903735
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Additional information
References:
- 1.
- T. Banchoff, Triple points and surgery of immersed surfaces, Proc. Amer. Math. Soc. 46 (1974), 407-413. MR 377897
- 2.
- R. Bryant, A duality theorem for Willmore surfaces, J. Differential Geom. 20 (1984), 23-53. MR 772125
- 3.
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- 4.
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- 5.
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- 7.
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- 8.
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- 9.
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- 10.
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- 11.
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- 12.
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- 13.
- R. Osserman, Global properties of complete minimal surfaces in E3 and E, Ann. of Math. (2) 80 (1964), 340-364. MR 151907
- 14.
- R. Schoen, Uniqueness, symmetry and embeddedness of minimal surfaces, J. Differential Geom. 18 (1983), 791-809. MR 730928
- 15.
- M. Spivak, A comprehensive introduction to differential geometry. IV, Publish or Perish, Berkeley, 1975.
- 16.
- D. Hoffman and W. Meeks III, The classical theory of minimal surfaces (in preparation).
- 17.
- N. Korevaar, R. Kusner and B. Solomon, The structure of complete embedded surfaces with constant mean curvature (preprint), 1987. MR 1010168
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Additional Information:
DOI:
10.1090/S0273-0979-1987-15564-9
PII:
S 0273-0979(1987)15564-9
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