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A note on the Chern-Yamabe flow on compact Hermitian manifolds with negative Gauduchon degree
Abstract
In this note, we prove that on a compact Hermitian manifold with negative Gauduchon degree, the Chern-Yamabe flow introduced in our recent work [13] converges to the solution of prescribed Chern scalar curvature problem, provided that the candidate curvature function is nonpositive and not identically zero.
Related
- Deformed Gauduchon-Yamabe problems on compact Hermitian manifolds
- Yamabe-type problems on compact Hermitian manifolds
- Compact lcK manifolds with Gauduchon parallel vector fields
- Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds
- Generalized Gauduchon metrics on compact complex spaces
BibTeX
@misc{yu2026note,
title = {{A note on the Chern-Yamabe flow on compact Hermitian manifolds with negative Gauduchon degree}},
author = {Weike Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15326},
eprint = {2610.15326},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15326},
}
RIS
TY - UNPB
TI - A note on the Chern-Yamabe flow on compact Hermitian manifolds with negative Gauduchon degree
AU - Weike Yu
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15326
UR - https://arxiv.org/abs/2610.15326
AB - In this note, we prove that on a compact Hermitian manifold with negative Gauduchon degree, the Chern-Yamabe flow introduced in our recent work [13] converges to the solution of prescribed Chern scalar curvature problem, provided that the candidate curvature function is nonpositive and not identically zero.
ER -