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Willmore Surfaces and Computers

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Statistical Thermodynamics and Differential Geometry of Microstructured Materials

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 51))

Abstract

This paper surveys compact Willmore surfaces.

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References

  1. R. Bryant, Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Diff. Geom. 17 (1982), 455–473.

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  2. R. Bryant, A duality theorem for Willmore surfaces, J. Diff. Geom. 20 (1984), 23–53.

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  3. D. Ferus, F. Pedit, U. Pinkall and I. Sterling, Minimal tori in S 4, J. reine angew. Math. (to appear).

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  4. H. Karcher, U. Pinkall and I. Sterling, New minimal surfaces in S 3, J. Diff. Geom. 28 (1988), 169–185.

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  5. H.B. Lawson, Complete minimal surfaces in S 3, Ann. of Math. 92 (1970), 335–374.

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  6. U. Pinkall and I. Sterling, On the classification of constant mean curvature tori, Ann. of Math. 130 (1989), 407–451.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toledo, Toledo, Ohio, 43606-3390, USA

    Ivan Sterling

Authors
  1. Ivan Sterling
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering and Materials Science, University of Minnesota, 55455, Minneapolis, MN, USA

    H. Ted Davis

  2. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Johannes C. C. Nitsche

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© 1993 Springer-Verlag New York, Inc.

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Sterling, I. (1993). Willmore Surfaces and Computers. In: Davis, H.T., Nitsche, J.C.C. (eds) Statistical Thermodynamics and Differential Geometry of Microstructured Materials. The IMA Volumes in Mathematics and its Applications, vol 51. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8324-6_10

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  • DOI: https://doi.org/10.1007/978-1-4613-8324-6_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8326-0

  • Online ISBN: 978-1-4613-8324-6

  • eBook Packages: Springer Book Archive

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