Nonlinear Dirac equations on Riemann surfaces

By Qun Chen, Jürgen Jost, Guofang Wang. 2007

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We have developed 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 have provided the key analytical steps, i.e., small energy regularity and removable singularity theorems and energy identities for solutions.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3cdce86e2f9248f6aaf0e7fe85383ddbf0551b69