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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
32/2008

Regularity for weakly Dirac-harmonic maps to hypersurfaces

Miaomiao Zhu

Abstract

We prove that a weakly Dirac-harmonic map from a Riemann spin surface to a compact hypersurface $N\subset \mathbb{R}^{d+1}$ is smooth.

Received:
Apr 10, 2008
Published:
Apr 11, 2008
MSC Codes:
58J05, 53C27
Keywords:
Dirac-harmonic map, regularity, hypersurface

Related publications

inJournal
2009 Journal Open Access
Miaomiao Zhu

Regularity for weakly Dirac-harmonic maps to hypersurfaces

In: Annals of global analysis and geometry, 35 (2009) 4, pp. 405-412