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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
42/2007

Nonlinear Dirac equations on Riemann surfaces

Qun Chen, Jürgen Jost and Guofang Wang

Abstract

We develop analytical methods for nonlinear Dirac equations. Examples of such equations include Dirac-harmonic maps with curvature term and the equations describing the generalized Weierstrass representation of surfaces in three-manifolds. We provide the key analytical steps, i.e., small energy regularity and removable singularity theorems and energy identities for solutions.

Received:
Apr 24, 2007
Published:
Apr 24, 2007
MSC Codes:
58J05, 53C27
Keywords:
Dirac equation, regularity, energy identity

Related publications

inJournal
2008 Journal Open Access
Qun Chen, Jürgen Jost and Guofang Wang

Nonlinear Dirac equations on Riemann surfaces

In: Annals of global analysis and geometry, 33 (2008) 3, pp. 253-270