Some new examples of nonorientable minimal surfaces
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- by M. Elisa G. G. de Oliveira PDF
- Proc. Amer. Math. Soc. 98 (1986), 629-636 Request permission
Abstract:
The classical Hennebergâs minimal surface (1875, [3, 4, 11]) was the unique nonorientable example known until 1981, when Meeks [6] exhibited the first example of a nonorientable, regular, complete, minimal surface of finite total curvature $- 6\pi$. In this paper, we study the nonorientable, regular, complete minimal surfaces of finite total curvature and give some examples of punctured projective planes regularly and minimally immersed in ${{\mathbf {R}}^3}$ and ${{\mathbf {R}}^n}$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 629-636
- MSC: Primary 53A10
- DOI: https://doi.org/10.1090/S0002-9939-1986-0861765-0
- MathSciNet review: 861765