Stable complete minimal surfaces in $R^3$ are planes
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- by M. do Carmo and C. K. Peng PDF
- Bull. Amer. Math. Soc. 1 (1979), 903-906
References
- J. L. Barbosa and M. do Carmo, On the size of a stable minimal surface in $R^{3}$, Amer. J. Math. 98 (1976), no. 2, 515–528. MR 413172, DOI 10.2307/2373899 2. M. do Carmo and A. M. da Silveira, Globally stable complete minimal surfaces in R, Proc. Amer. Math. Soc. (to appear).
- M. do Carmo and C. K. Peng, Stable complete minimal hypersurfaces, Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations, Vol. 1, 2, 3 (Beijing, 1980) Sci. Press Beijing, Beijing, 1982, pp. 1349–1358. MR 714373
- Doris Fischer-Colbrie and Richard Schoen, The structure of complete stable minimal surfaces in $3$-manifolds of nonnegative scalar curvature, Comm. Pure Appl. Math. 33 (1980), no. 2, 199–211. MR 562550, DOI 10.1002/cpa.3160330206
Additional Information
- Journal: Bull. Amer. Math. Soc. 1 (1979), 903-906
- MSC (1970): Primary 53A10; Secondary 94F10
- DOI: https://doi.org/10.1090/S0273-0979-1979-14689-5
- MathSciNet review: 546314