Regularity Theorems and Energy Identities for Dirac-Harmonic Maps

Qun Chen, Jürgen Jost, Jiayu Li, and Guofang Wang

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Submission date: 01. Nov. 2004
Pages: 23
published in: Mathematische Zeitschrift, 251 (2005) 1, p. 61-84 
DOI number (of the published article): 10.1007/s00209-005-0788-7
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Abstract:
We study Dirac-harmonic maps from a Riemann surface to a sphere . We show that a weakly Dirac-harmonic map is in fact smooth, and prove that the energy identity holds during the blow-up process.