English

Complete scalar-flat Kahler 4-manifolds with a continuous symmetry

Differential Geometry 2023-11-14 v1

Abstract

We study complete scalar-flat Kahler manifolds with a Killing field and a mild asymptotic condition. We show that topological and geometric rigidities exist that powerfully restrict the manifold's behavior at infinity. We create a rough classification for scalar-flat Kahler manifolds with a Killing field.

Keywords

Cite

@article{arxiv.2311.06950,
  title  = {Complete scalar-flat Kahler 4-manifolds with a continuous symmetry},
  author = {Brian Weber},
  journal= {arXiv preprint arXiv:2311.06950},
  year   = {2023}
}