Stability and singularities of harmonic
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Tรดru Nakajima
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Article
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2003
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Elsevier Science
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English
โ 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 โ 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