Complete minimal surfaces in $\textbf {R}^ 3$ of genus one and four planar embedded ends
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- by Celso J. Costa PDF
- Proc. Amer. Math. Soc. 119 (1993), 1279-1287 Request permission
Abstract:
By using elliptic functions and Weierstrass representation we construct a one-parameter family of complete minimal surfaces in ${{\mathbf {R}}^3}$ with genus one and four planar embedded ends. These surfaces are critical points of the Willmore functional.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 1279-1287
- MSC: Primary 53A10; Secondary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1993-1160295-2
- MathSciNet review: 1160295