<p>In this paper, we introduce the notion of <i>f</i>-<i>CC</i> harmonic maps with potential <i>H</i> from a Riemannian manifold into sub-Riemannian manifolds, and achieve some vanishing theorems for <i>f</i>-<i>CC</i> harmonic maps with potential <i>H</i> via the stress-energy tensor and the monotonicity formulas.</p>

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Vanishing theorems for f-CC harmonic maps with potential H into sub-Riemannian manifolds

  • Jing Li,
  • Guo-qing He,
  • Pei-biao Zhao

摘要

In this paper, we introduce the notion of f-CC harmonic maps with potential H from a Riemannian manifold into sub-Riemannian manifolds, and achieve some vanishing theorems for f-CC harmonic maps with potential H via the stress-energy tensor and the monotonicity formulas.