Complete Möbius strips minimally immersed in $\textbf {R}^ 3$
HTML articles powered by AMS MathViewer
- by Tōru Ishihara PDF
- Proc. Amer. Math. Soc. 107 (1989), 803-806 Request permission
Abstract:
In the present paper, we will determine all complete minimal immersions of a Möbius strip into ${{\mathbf {R}}^3}$ with finite total curvature.References
-
A. de Barros, Complete nonorientable minimal surfaces in ${{\mathbf {R}}^3}$ with total curvature $- 10\pi$, preprint.
- M. Elisa G. G. de Oliveira, Some new examples of nonorientable minimal surfaces, Proc. Amer. Math. Soc. 98 (1986), no. 4, 629–636. MR 861765, DOI 10.1090/S0002-9939-1986-0861765-0
- 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
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 803-806
- MSC: Primary 53A10
- DOI: https://doi.org/10.1090/S0002-9939-1989-0984797-3
- MathSciNet review: 984797