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Classification of harmonic mappings of constant energy density into spheres

✍ Scribed by Joon-Sik Park; Hajime Urakawa

Publisher: Springer
Year: 1991
Tongue: English
Weight: 615 KB
Volume: 37
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00147415

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✦ Synopsis

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.

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