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Harmonic maps into round cones and singularities of nematic liquid crystals

โœ Scribed by Robert Hardt; Fang Hua Lin


Publisher
Springer-Verlag
Year
1993
Tongue
French
Weight
820 KB
Volume
213
Category
Article
ISSN
0025-5874

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Stability and singularities of harmonic
โœ Tรดru Nakajima ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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