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Construction of Harmonic Surfaces with Prescribed Geometry

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 6327)

Abstract

In this note we explain how a well-understood construction method for minimal surfaces can be used as flexible tool to explicitly parametrize harmonic surfaces with prescribed geometry of arbitrary finite topological type.

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References

  1. Fujimori, S., Weber, M.: Triply periodic minimal surfaces bounded by vertical symmetry planes. In: Manuscripta Mathematica, pp. 29–53 (2009)

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  2. Hoffman, D., Karcher, H.: Complete embedded minimal surfaces of finite total curvature. In: Osserman, R. (ed.) Encyclopedia of Mathematics, pp. 5–93. Springer, Heidelberg (1997)

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  3. Schoen, R.: Uniqueness, symmetry, and embeddedness of minimal surfaces. Journal of Differential Geometry 18, 791–809 (1983)

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© 2010 Springer-Verlag Berlin Heidelberg

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Weber, M. (2010). Construction of Harmonic Surfaces with Prescribed Geometry. In: Fukuda, K., Hoeven, J.v.d., Joswig, M., Takayama, N. (eds) Mathematical Software – ICMS 2010. ICMS 2010. Lecture Notes in Computer Science, vol 6327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15582-6_32

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  • DOI: https://doi.org/10.1007/978-3-642-15582-6_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15581-9

  • Online ISBN: 978-3-642-15582-6

  • eBook Packages: Computer ScienceComputer Science (R0)