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
Fujimori, S., Weber, M.: Triply periodic minimal surfaces bounded by vertical symmetry planes. In: Manuscripta Mathematica, pp. 29–53 (2009)
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)
Schoen, R.: Uniqueness, symmetry, and embeddedness of minimal surfaces. Journal of Differential Geometry 18, 791–809 (1983)
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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
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