Minimal surfaces with constant Gauss curvature
HTML articles powered by AMS MathViewer
- by Bang-yen Chen PDF
- Proc. Amer. Math. Soc. 34 (1972), 504-508 Request permission
Abstract:
Minimal surfaces with constant Gauss curvature in real space forms are studied.References
- Eugenio Calabi, Isometric imbedding of complex manifolds, Ann. of Math. (2) 58 (1953), 1–23. MR 57000, DOI 10.2307/1969817
- Manfredo P. do Carmo and Nolan R. Wallach, Minimal immersions of spheres into spheres, Ann. of Math. (2) 93 (1971), 43–62. MR 278318, DOI 10.2307/1970752
- Katsuei Kenmotsu, Some remarks on minimal submanifolds, Tohoku Math. J. (2) 22 (1970), 240–248. MR 268791, DOI 10.2748/tmj/1178242819
- H. Blaine Lawson Jr., Local rigidity theorems for minimal hypersurfaces, Ann. of Math. (2) 89 (1969), 187–197. MR 238229, DOI 10.2307/1970816
- Shiing-shen Chern and Robert Osserman, Complete minimal surfaces in euclidean $n$-space, J. Analyse Math. 19 (1967), 15–34. MR 226514, DOI 10.1007/BF02788707
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 504-508
- MSC: Primary 53A10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296828-4
- MathSciNet review: 0296828