On the construction of infinitely many congruence classes of imbedded closed minimal hypersurfaces in $S^n(1)$ for all $n \geq 3$
Wu-Yi Hsiang
Source: Duke Math. J. Volume 55, Number 2
(1987), 361-367.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077306026
Mathematical Reviews number (MathSciNet): MR894586
Zentralblatt MATH identifier: 0627.53048
Digital Object Identifier: doi:10.1215/S0012-7094-87-05520-7
References
[1] S. S. Chern, Differential geometry, its past and its future, Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, Gauthier-Villars, Paris, 1971, pp. 41–53.
Mathematical Reviews (MathSciNet): MR55:1242
Zentralblatt MATH: 0232.53001
[2] W. T. Hsiang and W. Y. Hsiang, On the existence of codimension-one minimal spheres in compact symmetric spaces of rank $2$. II, J. Differential Geom. 17 (1982), no. 4, 583–594 (1983).
Mathematical Reviews (MathSciNet): MR84a:53057
Zentralblatt MATH: 0503.53044
Project Euclid: euclid.jdg/1214437487
[3]1 W. Y. Hsiang, Minimal cones and the spherical Bernstein problem. I, Ann. of Math. (2) 118 (1983), no. 1, 61–73.
Mathematical Reviews (MathSciNet): MR85e:53080a
Zentralblatt MATH: 0522.53051
Digital Object Identifier: doi:10.2307/2006954
JSTOR: links.jstor.org
[3]2 W. Y. Hsiang, Minimal cones and the spherical Bernstein problem, II, Invent. Math. 74 (1983), no. 3, 351–369.
Mathematical Reviews (MathSciNet): MR85e:53080b
Zentralblatt MATH: 0532.53045
Digital Object Identifier: doi:10.1007/BF01394241
[4] W. Y. Hsiang and H. B. Lawson, Jr., Minimal submanifolds of low cohomogeneity, J. Differential Geometry 5 (1971), 1–38.
Mathematical Reviews (MathSciNet): MR45:7645
Zentralblatt MATH: 0219.53045
Project Euclid: euclid.jdg/1214429773
[5] W. Y. Hsiang and I. Sterling, On the construction of nonequatorial minimal hyperspheres in $S\sp n(1)$ with stable cones in $\bf R\sp n+1$, Proc. Nat. Acad. Sci. U.S.A. 81 (1984), no. 24, Phys. Sci., 8035–8036.
Mathematical Reviews (MathSciNet): MR86a:53063
Zentralblatt MATH: 0566.53051
Digital Object Identifier: doi:10.1073/pnas.81.24.8035
JSTOR: links.jstor.org
[6] H. B. Lawson, Jr., Complete minimal surfaces in $S\sp3$, Ann. of Math. (2) 92 (1970), 335–374.
Mathematical Reviews (MathSciNet): MR42:5170
Zentralblatt MATH: 0205.52001
Digital Object Identifier: doi:10.2307/1970625
JSTOR: links.jstor.org
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