A remark on generalized harmonic maps into spheres
β Scribed by Yuxin Ge
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 104 KB
- Volume
- 36
- 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 study the class of maps from the open unit disk into the Riemann sphere or into [& , + ] that can be continuously extended to the maximal ideal space of H . Several characterizations are given for these classes and the subclasses of meromorphic and harmonic functions in terms of cluster sets, sph