Derivative estimates of pluriclosed flow
Differential Geometry
2023-11-14 v3
Abstract
We provide a derivative estimate for the pluriclosed flow, controlling higher order derivatives of Chern curvature and torsion using the Chern curvature. Moreover, we derive an estimate for torsion tensor using Chern Ricci curvature in dimension two. And in the Hermitian-symplectic case, we find a monotonic quantity and use it to prove that all Hermitian-symplectic solitons are K\"ahler Ricci solitons.
Keywords
Cite
@article{arxiv.2308.14600,
title = {Derivative estimates of pluriclosed flow},
author = {Yanan Ye},
journal= {arXiv preprint arXiv:2308.14600},
year = {2023}
}