Nonlinear Dirac equations on Riemann surfaces
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🧮 math.DG
math.AP
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equationsanalyticaldiracenergynonlinearsurfacescurvaturedescribing
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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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