Work

A note on the Chern-Yamabe flow on compact Hermitian manifolds with negative Gauduchon degree

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15326

Author: Yu, Weike

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Nanjing Normal University, National Natural Science Foundation of China

Award: G3121387216

OpenAlex ID: W7221821512

Cites: 2

Cited by:

Related to: 10