A new family of Enneper type minimal surfaces
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- by Yi Fang
- Proc. Amer. Math. Soc. 108 (1990), 993-1000
- DOI: https://doi.org/10.1090/S0002-9939-1990-1012931-6
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Abstract:
An Enneper type surface is a complete immersed minimal surface in ${{\mathbf {R}}^3}$ with only one end and finite total curvature. In this paper we construct a family of Enneper type surfaces of genus 1, total curvature $- 8(2n + 1)\pi ,n = 0,1,2, \cdots$. We use the Weierstrass $\wp$ elliptic function as a tool and also prove some results about $\wp$ on a square torus.References
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Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 993-1000
- MSC: Primary 53A10
- DOI: https://doi.org/10.1090/S0002-9939-1990-1012931-6
- MathSciNet review: 1012931