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Constructions of harmonic polynomial maps between spheres

✍ Scribed by Hillel Gauchman; Gabor Toth

Publisher
Springer
Year
1994
Tongue
English
Weight
858 KB
Volume
50
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

Stability and singularities of harmonic
Stability and singularities of harmonic maps into 3-spheres
✍ TΓ΄ru Nakajima πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 145 KB

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