|
New examples of minimal imbeddings of $S^{n - 1}$ into $S^n \left( 1 \right)$—The spherical Bernstein problem for $n = 4,\,5,\,6$
Author(s):
Wu-yi
Hsiang
Journal:
Bull. Amer. Math. Soc.
7
(1982),
377-379.
MSC (1980):
Primary 53A10;
Secondary 53C42
MathSciNet review:
663788
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- F. J. Almgren, Jr., Some interior regularity theorem for minimal surfaces and an extension of Bernstein's theorem, Ann. of Math. (2) 85 (1966), 277-292.
- 2.
- E. Bombieri, E. De Giorgi and E. Guisti, Minimal cones and the Bernstein problem, Invent. Math. 7 (1969), 243-268. MR 250205
- 3.
- E. Calabi, Minimal immersions of surfaces in euclidean spheres, J. Differential Geom. 1 (1967), 111-125. MR 233294
- 4.
- S. S. Chern, Brief survey of minimal submanifolds, Tagungsbericht, Oberwolfach, 1969, pp. 43-60. MR 358634
- 5.
- S. S. Chern, Differential geometry; its past and its future, Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 41-53. MR 428217
- 6.
- E. De Giorgi, Una estensione del teorema di Bernstein, Ann. Sci. Norm Sup Pisa 19 (1965), 79-85. MR 178385
- 7.
- W. Y. Hsiang and H. B. Lawson, Jr., Minimal submanifolds of low cohomogeneity, J. Differential Geom. 5 (1971), 1-38. MR 298593
- 8.
- W. Y. Hsiang, Z. H. Teng and W. Yu, New examples of constant mean curvature immersions of 3-sphere into euclidean 4-space, Proc. Nat. Acad. Sci. U.S.A. (to appear). MR 659834
- 9.
- J. Simons, Minimal varieties in riemannian manifolds, Ann. of Math. (2) 88 (1968), 62-105. MR 233295
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1980):
53A10, 53C42
Retrieve articles in all Journals with MSC
(1980):
53A10, 53C42
Additional Information:
DOI:
10.1090/S0273-0979-1982-15042-X
PII:
S 0273-0979(1982)15042-X
|
