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

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

  • He Zhang,
  • Miaomiao Zhu

摘要

For stationary approximate harmonic maps from a closed Riemannian manifold into closed homogeneous spaces with controlled normal error terms, we derive an a priori W2,1-estimate and then establish energy quantization.