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arXiv · 2304.13975

Prescribing Chern scalar curvatures on noncompact manifolds

Di Wu·Xi Zhang
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Abstract

In this paper, we investigate the noncompact prescribed Chern scalar curvature problem which reduces to solve a Kazdan-Warner type equation on noncompact non-K\"{a}hler manifolds. By introducing an analytic condition on noncompact manifolds, we establish related existence results. As its another application, we further give a new proof of a classical multiplicity theorem of W.M. Ni.

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Di Wu, Xi Zhang. 2023-04-27. Prescribing Chern scalar curvatures on noncompact manifolds. https://arxiv.org/abs/2304.13975

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