Prescribed Chern scalar curvatures on complete noncompact Hermitian manifolds with nonpositive curvatures

Fuente: arXiv
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Autore principale: Yu, Weike
Natura: Preprint
Pubblicazione: 2026
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author Yu, Weike
author_facet Yu, Weike
contents In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds with nonpositive curvatures, and establish some existence results. In particular, we obtain some sufficient conditions for the existence of a constant negative Chern scalar curvature metric in the conformal class.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02024
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Prescribed Chern scalar curvatures on complete noncompact Hermitian manifolds with nonpositive curvatures
Yu, Weike
Differential Geometry
In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds with nonpositive curvatures, and establish some existence results. In particular, we obtain some sufficient conditions for the existence of a constant negative Chern scalar curvature metric in the conformal class.
title Prescribed Chern scalar curvatures on complete noncompact Hermitian manifolds with nonpositive curvatures
topic Differential Geometry
url https://arxiv.org/abs/2601.02024