Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow
نویسندگان
چکیده
منابع مشابه
Repulsion and quantization in almost - harmonic maps , and asymptotics of the harmonic map flow
We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a ‘quantization estimate’ which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find u...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2004
ISSN: 0003-486X
DOI: 10.4007/annals.2004.159.465