Nonlinear Dirac equations on Riemann surfaces
Differential Geometry
2007-07-31 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.0707.4386,
title = {Nonlinear Dirac equations on Riemann surfaces},
author = {Qun Chen and Juergen Jost and Guofang Wang},
journal= {arXiv preprint arXiv:0707.4386},
year = {2007}
}
Comments
to appear in Annals of Global Analysis and Geometry