Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case
نویسنده
چکیده
We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show the so-called generalized energy identity in the case that the domain converges to a spin surface with only Neveu-Schwarz type nodes. We find condition that is both necessary and sufficient for the W 1,2 ×L modulo bubbles compactness of a sequence of such maps. 2000 Mathematics Subject Classification: 58J05, 53C27.
منابع مشابه
Mathematik in den Naturwissenschaften Leipzig Dirac - harmonic maps from degenerating spin surfaces I : the Neveu - Schwarz case
We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show the so-called generalized energy identity in the case that the domain converges to a spin surface with only Neveu-Schwarz type nodes. We find condition that is both necessary and sufficient for the W 1,2 ×L modulo bubbles compactness of a sequence of such maps. 2000 Mathematics Subject Classifica...
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تاریخ انتشار 2008