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1. Gradient Estimates and Liouville Theorems for Dirac-harmonic maps | |||
CHEN Qun, Jürgen Jost,SUN Linlin | |||
Mathematics 07 August 2012 | |||
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Abstract:Dirac-harmonic map is the mathematical version of the super-symmetric nonlinear sigma model in quantum field theory, it includes the two important special cases: harmonic map and harmonic spinor. Many progresses have been made in the existence, regularity, blowup analysis, etc.. Most of the previous results deal with Dirac-harmonic maps from compact manifolds, it is the main aim of the present paper to derive properties of Dirac-harmonic maps from non-compact complete manifolds. Precisely, the authors established gradient estimates for Dirac-harmonic maps from non-compact complete Riemannian spin manifolds into regular balls of the target manifolds, and then apply these estimates to obtain Liouville theorems for Dirac-harmonic maps under certain conditions of the curvatures or energies, especially, they proved Liouville theorems of Dirac-harmonic maps under small energy density conditions. | |||
TO cite this article:CHEN Qun, Jürgen Jost,SUN Linlin. Gradient Estimates and Liouville Theorems for Dirac-harmonic maps[OL].[ 7 August 2012] http://en.paper.edu.cn/en_releasepaper/content/4486492 |
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