Regularity of minimizing p-harmonic maps into the sphere
β Scribed by Nobumitsu Nakauchi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 234 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
The behavior of harmonic maps from a domain in R 4 into S 3 is discussed. In this paper, we show that if u is a strictly stable stationary harmonic map : B 4 β S 3 , such that the singular set Sing(u) of u consists of {0}, then the degree deg(u; 0) of u at 0 is zero; and that if u is a weakly stable
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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