Energy Quantization for a Class of Stationary Approximate Harmonic Maps into Homogeneous Spaces

Abstract

For stationary approximate harmonic maps from a closed Riemannian manifold into closed homogeneous spaces with controlled normal error terms, we derive an a priori W^2,1-estimate and then establish energy quantization.

Keywords

Stationary approximate harmonic maps / homogeneous space / blowup analysis / energy quantization / 53C43 / 58E20

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