English

A moment map for twisted-Hamiltonian vector fields on locally conformally K\"ahler manifolds

Differential Geometry 2023-06-30 v2 Complex Variables

Abstract

We extend the classical Donaldson-Fujiki interpretation of the scalar curvature as moment map in K\"ahler Geometry to the wider framework of locally conformally K\"ahler Geometry.

Keywords

Cite

@article{arxiv.2207.06863,
  title  = {A moment map for twisted-Hamiltonian vector fields on locally conformally K\"ahler manifolds},
  author = {Daniele Angella and Simone Calamai and Francesco Pediconi and Cristiano Spotti},
  journal= {arXiv preprint arXiv:2207.06863},
  year   = {2023}
}

Comments

19 pages. Minor corrections. To appear in Transform. Groups