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Rigidity of superconformal minimal surfaces lying fully in odd-dimensional unit spheres

Published online by Cambridge University Press:  24 October 2008

Makoto Sakaki
Makoto Sakaki
Affiliation:
Department of Mathematics, Faculty of Science, Hirosaki University, Hirosaki 036, Japan
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Abstract

Let Sn denote the n-dimensional unit sphere. Recently, Bolton, Pedit and Woodward [1, 3] have begun to study a class of minimal surfaces in Sn, which are called superconformal. In this paper we will discuss the rigidity of superconformal minimal surfaces lying fully in S2m−1 among all superconformal minimal surfaces lying fully in odd-dimensional unit spheres.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 2 , March 1995 , pp. 251 - 257
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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