Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-18T14:21:54.464Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
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