Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature
Author:
Publisher
Duke University Press
Subject
General Mathematics
Reference8 articles.
1. [S] J. Simons, Minimal varieties in riemannian manifolds, Ann. of Math. (2) 88 (1968), 62–105.
2. [C] E. Cartan, Familles de surfaces isoparametriques dans les espaces à courbure constant, Annali di Mat. 17 (1938), 177–191.
3. [C,D,K] S. S. Chern, M. de Carmo, and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, Functional Analysis and Related Fields (Proc. Conf. for M. Stone, Univ. Chicago, Chicago, Ill., 1968), Springer, New York, 1970, pp. 59–75.
4. [H_1] W. Hsiang, Minimal cones and the spherical Bernstein problem. I, Ann. of Math. (2) 118 (1983), no. 1, 61–73.
5. [H_2] W. Hsiang, On the construction of constant mean curvature imbeddings of exotic and/or knotted spheres into $S\sp n(1)$, Invent. Math. 82 (1985), no. 3, 423–445.
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