Nonlinear Dirac equations on Riemann surfaces

Details Nonlinear Dirac equations on Riemann surfaces Nonlinear Dirac equations on Riemann surfaces

2007-07-30

arxiv.org/abs/0707.4386v1

Mathematics

Differential Geometry

to appear in Annals of Global Analysis and Geometry

Scientific paper

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.

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