On generalization of theorems of A. D. Alexandrov and C. Delaunay on hypersurfaces of constant mean curvature

Duke Mathematical Journal

Volumn 49, Issue 3, 1982, Pages 485-496

  Hsiang, Wu Yi ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972581765     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-82-04927-4     Document Type: Article

References (8)

1. A. D. ALEXANDROV, Uniqueness theorems for surfaces in the large V, Vestnik, Leningrad Univ. 13 (1958); English translation: AMS Transl. 21 (1962), 412-416.
2. A. D. ALEXANDROV, A characteristic property of spheres, Annali di mat. pura ed appl. 58 (1962), 303-315.
3. C. DELÄUNAY, Sur la surface de révolution dont la courbure mayenne est constante, J. Math. Pures. Appl, Ser. 1, 6 (1841), 309-320.
4. H. HOPF, Über Flächen mit einer Relation zwischen den Hauptkrümmungen, Math. Nachr. 4 (1950-51), 232-249.
5. W. Y. HSIANG AND W. T. HSIANG, On the construction of exotic and/or knotted spheres of constant mean curvature in the standard sphere, to appear.
6. W. Y. HSIANG AND B. LAWSON, Minimal submanifolds of low cohomogeneity, J. of Diff. Geo. 5 (1971), 1-38.
7. W. Y. HSIANG AND W. YU, A generalization of Delaunay theorem on the construction of rotational symmetric hypersurfaces of constant mean curvature and harmonic maps (to appear in J. of Diff. Geo.).
8. H. LIEBMANN, Über die Verbiegung der geschlossenen Flächen positier Krümmung, Math. Ann. 53 (1900), 81-112.