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Willmore Surfaces and Computers

  • Ivan Sterling
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 51)

Abstract

This paper surveys compact Willmore surfaces.

Keywords

Minimal Surface Duality Theorem Sphere Geometry Compact Surface Microstructured Material 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    R. Bryant, Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Diff. Geom. 17 (1982), 455–473.MATHGoogle Scholar
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    R. Bryant, A duality theorem for Willmore surfaces, J. Diff. Geom. 20 (1984), 23–53.MATHGoogle Scholar
  3. [3]
    D. Ferus, F. Pedit, U. Pinkall and I. Sterling, Minimal tori in S 4, J. reine angew. Math. (to appear).Google Scholar
  4. [4]
    H. Karcher, U. Pinkall and I. Sterling, New minimal surfaces in S 3, J. Diff. Geom. 28 (1988), 169–185.MathSciNetMATHGoogle Scholar
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    H.B. Lawson, Complete minimal surfaces in S 3, Ann. of Math. 92 (1970), 335–374.MathSciNetMATHCrossRefGoogle Scholar
  6. [6]
    U. Pinkall and I. Sterling, On the classification of constant mean curvature tori, Ann. of Math. 130 (1989), 407–451.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1993

Authors and Affiliations

  • Ivan Sterling
    • 1
  1. 1.Department of MathematicsUniversity of ToledoToledoUSA

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