English

Estimates for metrics of constant Chern scalar curvature

Differential Geometry 2020-07-07 v2 Analysis of PDEs Complex Variables

Abstract

We prove a priori estimates for constant Chern scalar curvature metrics on a compact complex manifold conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the K\"ahler setting.

Keywords

Cite

@article{arxiv.1909.13445,
  title  = {Estimates for metrics of constant Chern scalar curvature},
  author = {Xi Sisi Shen},
  journal= {arXiv preprint arXiv:1909.13445},
  year   = {2020}
}

Comments

19 pages; minor revisions; to appear in Math. Res. Lett