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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

On the construction of codimension-two minimal immersions of exotic spheres

Author(s): Wu-Teh Hsiang; Wu-Yi Hsiang; Ivan Sterling
Journal: Bull. Amer. Math. Soc. 12 (1985), 120-124.
MSC (1980): Primary 53A10; Secondary 53C42
MathSciNet review: 766967
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References | Similar articles | Additional information

References:

[KM] M. Kervaire and J. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504-537. MR 148075

[HL] W. Y. Hsiang and B. H. Lawson, Jr., Minimal submanifolds of low cohomogeneity, J. Differential Geom. 5 (1971), 1-38. MR 298593

[1] E. Brieskorn, Examples of singular normal complex space which are topological manifolds, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 1395-1397. MR 198497

[2] S. S. Chern, Differential geometry, its past and its future, Actes Congres Intern. Math., 1970, Tome 1, pp. 41-53. MR 428217

[3] W. C. Hsiang and W. Y. Hsiang, On compact subgroups of the diffeomorphism groups of Kervaire spheres, Ann. of Math. (2) 85 (1967), 359-369. MR 214083

[4] W. Y. Hsiang, On the bound of the dimensions of the isometry groups of all possible Riemannian metrics on an exotic sphere, Ann. of Math. (2) 85 (1967), 351-358. MR 214084

[5] W. T. Hsiang and W. Y. Hsiang, On the construction of constant mean curvature imbeddings of exotic and/or knotted spheres into the unit sphere. III (to appear).

[6] J. Milnor, On manifolds homeomorphic to the 7-sphere, Ann. of Math. (2) 64 (1956), 399-405. MR 82103


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Additional Information:

DOI: 10.1090/S0273-0979-1985-15310-8
PII: S 0273-0979(1985)15310-8


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