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[ ]1-INVARIANT HARMONIC MAPS FROM [ ]3 TO [ ]2

Published online by Cambridge University Press:  21 December 2000

GUOFANG WANG
GUOFANG WANG
Affiliation:
Institute of Mathematics, Academic Sinica, Beijing, China; e-mail: [email protected] Current address: Max-Planck Institute for Mathematics in the Sciences, Leipzig 04103, Germany; e-mail: [email protected]
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Abstract

In this note, we show that a homotopy class of [[ ]3, [ ]2] admits an [ ]1-invariant harmonic map if and only if its Hopf invariant is ±k2 for some integer k, where [ ]3 is the unit 3-sphere and [ ]2 is a 2-sphere with an arbitrary metric.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 6 , November 2000 , pp. 729 - 735
Copyright
© The London Mathematical Society 2000

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