A nonorientable complete minimal surface in $\textbf {R}^ 3$ between two parallel planes
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- by Francisco J. López PDF
- Proc. Amer. Math. Soc. 103 (1988), 913-917 Request permission
Abstract:
In this paper, we show how to produce nonorientable, regular complete, minimal surfaces in ${R^3}$ between two parallel planes.References
- Luquésio P. de M. Jorge and Frederico Xavier, A complete minimal surface in $\textbf {R}^{3}$ between two parallel planes, Ann. of Math. (2) 112 (1980), no. 1, 203–206. MR 584079, DOI 10.2307/1971325
- William H. Meeks III, The classification of complete minimal surfaces in $\textbf {R}^{3}$ with total curvature greater than $-8\pi$, Duke Math. J. 48 (1981), no. 3, 523–535. MR 630583
- Robert Osserman, A survey of minimal surfaces, Van Nostrand Reinhold Co., New York-London-Melbourne, 1969. MR 0256278
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 913-917
- MSC: Primary 53A10; Secondary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947681-6
- MathSciNet review: 947681