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On Rigidity of Harmonic Mappings into Spheres

✍ Scribed by Toth, G.


Book ID
120095238
Publisher
Oxford University Press
Year
1982
Tongue
English
Weight
253 KB
Volume
s2-26
Category
Article
ISSN
0024-6107

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Classification of harmonic mappings of c
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We classify all eigenmaps and isometric minimal immersions of a flat torus into the unit sphere using the parametrization theorem (cf. [2], [14]) for range-equivalence classes of all eigenmaps of an arbitrary compact homogeneous Riemannian manifold into the unit sphere.