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MiS Preprint
77/2004

Regularity Theorems and Energy Identities for Dirac-Harmonic Maps

Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang

Abstract

We study Dirac-harmonic maps from a Riemann surface to a sphere $\S^n$. We show that a weakly Dirac-harmonic map is in fact smooth, and prove that the energy identity holds during the blow-up process.

Received:
Nov 1, 2004
Published:
Nov 1, 2004

Related publications

inJournal
2005 Repository Open Access
Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang

Regularity theorems and energy identities for Dirac-harmonic maps

In: Mathematische Zeitschrift, 251 (2005) 1, pp. 61-84