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<p>In this paper, we first generalize <i>H</i>-surfaces to the harmonic Ricci flow and establish uniform bounds on both the energy density and curvatures of the domain manifold under the condition of the large enough coupling constant, which yields a long-time existence result for this flow.</p>

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A Long-time Existence Result for Harmonic Ricci Flow along H-Surfaces

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Jiarui Chen,
  • Qun Chen

摘要

In this paper, we first generalize H-surfaces to the harmonic Ricci flow and establish uniform bounds on both the energy density and curvatures of the domain manifold under the condition of the large enough coupling constant, which yields a long-time existence result for this flow.