Almost-Hermitian and Hermitian metrics

Daniele Angella

Almost-Hermitian and Hermitian metrics

Differential Geometry 2026-07-29 v1 Complex Variables

Authors: Daniele Angella

Abstract

We describe three problems in Hermitian geometry related to the scalar curvature of the Chern connection, aimed at identifying and constructing canonical metrics. They are chosen as toy examples where different techniques naturally interact: analytic methods for partial differential equations, the notion of momentum map, and variational methods.

Cite

@article{arxiv.2607.26673,
  title  = {Almost-Hermitian and Hermitian metrics},
  author = {Daniele Angella},
  journal= {arXiv preprint arXiv:2607.26673},
  year   = {2026}
}

Comments

These notes were prepared for the course delivered by the author at the CIME Summer School "Cohomological properties of almost complex manifolds and special structures", held in Cetraro (CS), July 13--17, 2026