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arXiv · 2501.03570

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

Weike Yu
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Abstract

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 guaranties the convergence of the flow to a conformal Hermitian metric whose Chern scalar curvature is $f$.

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Weike Yu. 2025-01-07. Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree. https://arxiv.org/abs/2501.03570

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