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<p>In this paper, we present a unified flow approach to prescribed Chern scalar curvature problem on compact Hermitian manifolds with negative Gauduchon degree. When the conformal class of its Hermitian metric contains a balanced metric, we give some sufficient conditions on the candidate curvature function <i>f</i> which guarantees the convergence of the flow to a conformal Hermitian metric whose Chern scalar curvature is <i>f</i>.</p>

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Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree

  • 期刊论文

  • 发表日期：

    2025年10月13日

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  • Weike Yu

摘要

In this paper, we present a unified flow approach to prescribed Chern scalar curvature problem on compact Hermitian manifolds with negative Gauduchon degree. When the conformal class of its Hermitian metric contains a balanced metric, we give some sufficient conditions on the candidate curvature function f which guarantees the convergence of the flow to a conformal Hermitian metric whose Chern scalar curvature is f.