English

On the linearization stability of the Chern-scalar curvature

Differential Geometry 2022-05-24 v2 Complex Variables

Abstract

In this note, we study the local properties of the Chern-scalar curvature function by looking at its linearization. In particular, we study its linearization stability and the structure of the space of Hermitian metrics with prescribed Chern-scalar curvature.

Keywords

Cite

@article{arxiv.2106.09990,
  title  = {On the linearization stability of the Chern-scalar curvature},
  author = {Daniele Angella and Francesco Pediconi},
  journal= {arXiv preprint arXiv:2106.09990},
  year   = {2022}
}

Comments

In v2, the statement of Theorem C has been modified. 14 pages; comments are welcome