Connectedness of the space of minimal $2$-spheres in $S^ {2m}(1)$
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- by Motoko Kotani PDF
- Proc. Amer. Math. Soc. 120 (1994), 803-810 Request permission
Abstract:
Loo’s theorem asserts that the space of all branched minimal $2$-spheres of degree $d$ in ${S^4}(1)$ is connected. The main theorem in this paper is that the assertion is still true for ${S^{2m}}(1)$. It is shown that any branched minimal $2$-sphere in ${S^{2m}}(1)$ can be deformed, preserving its degree, to a meromorphic function.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 803-810
- MSC: Primary 58E20; Secondary 53C42, 58D27
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169040-9
- MathSciNet review: 1169040