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Perturbing away singularities of harmonic maps

✍ Scribed by Robert McIntosh; Leon Simon


Book ID
110558852
Publisher
Springer
Year
1990
Tongue
English
Weight
409 KB
Volume
67
Category
Article
ISSN
0025-2611

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Stability and singularities of harmonic
✍ 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