English

Steady Ricci Solitons on Complex Line Bundles

Differential Geometry 2017-08-29 v2

Abstract

We show the existence and uniqueness of a one-parameter family of smooth complete U(1)U(1)-invariant gradient steady Ricci solitons on the total space of any complex line bundle over a Fano K\"ahler-Einstein base with first Chern class proportional to that of the base. These solitons are non-K\"ahler except on the total space of the canonical bundle.

Keywords

Cite

@article{arxiv.1511.04087,
  title  = {Steady Ricci Solitons on Complex Line Bundles},
  author = {Maxwell Stolarski},
  journal= {arXiv preprint arXiv:1511.04087},
  year   = {2017}
}

Comments

35 pages. Comments welcome

R2 v1 2026-06-22T11:44:02.670Z