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On harmonic maps between S3 and S2 of prescribed Hopf invariant

Published online by Cambridge University Press:  24 October 2008

Andrea Ratto
Andrea Ratto
Affiliation:
Mathematical Institute, University of Warwick, and I.C.T.P. Trieste, Italy
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Extract

In this paper we prove the following

Theorem. Each element of the group π3(S2) = ℤ can be rendered harmonic, i.e. admits a harmonic representative, provided that the domain S3is given a suitable riemannian metric.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 2 , September 1988 , pp. 273 - 276
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

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