English

A complete metric topology on relative low energy spaces

Differential Geometry 2023-02-17 v2 Complex Variables

Abstract

In this paper, we show that the low energy spaces in the prescribed singularity case Eψ(X,θ,ϕ)\mathcal{E}_{\psi}(X,\theta,\phi) have a natural topology which is completely metrizable. This topology is stronger than convergence in capacity.

Keywords

Cite

@article{arxiv.2206.03999,
  title  = {A complete metric topology on relative low energy spaces},
  author = {Prakhar Gupta},
  journal= {arXiv preprint arXiv:2206.03999},
  year   = {2023}
}

Comments

25 pages, comments are welcome