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On the existence of embedded minimal 2-spheres in the 3-sphere, endowed with an arbitrary metric

Published online by Cambridge University Press:  17 April 2009

Francis R. Smith
Francis R. Smith
Affiliation:
38 Willow Grove, East Kew, Victoria 3102, Australia.
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Abstract

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Type
Abstracts of Australasian PhD Thesis
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 1 , August 1983 , pp. 159 - 160
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Almgren, F. Jr and Simon, L.M., “Existence of embedded solutions to Plateau's problem”, Ann. Scuola Norm. Sup. Pisa 6 (1979), 447–495.Google Scholar
[2]Pitts, J., Existence and regularity of minimal surfaces in Riemannian manifolds (Mathematical Notes, 27. Princeton University Press, Princeton, 1981).CrossRefGoogle Scholar
[3]Sacks, J. and Uhlenbeck, K., “The existence of minimal immersions of 2-spheres”, Ann. of Math. (2) 113 (1981), 1–24.CrossRefGoogle Scholar
[4]Schoen, R., Simon, L.M. and Yau, S.T., “Curvature estimates for minimal hypersurfaces”, Acta Math. 134 (1975), 275–288.CrossRefGoogle Scholar