Infinitely many non-collapsed steady Ricci solitons on complex line bundles
Differential Geometry
2026-03-17 v2
Abstract
We construct a continuous 3-parameter family of non-shrinking Ricci solitons complex line bundles over , where the base space is not necessarily K\"ahler--Einstein. Each with admits at least one asymptotically conical (AC) Ricci-flat metric in this family. For each with , the family includes infinitely many asymptotically paraboloidal (AP) steady Ricci soliton.
Keywords
Cite
@article{arxiv.2412.16907,
title = {Infinitely many non-collapsed steady Ricci solitons on complex line bundles},
author = {Hanci Chi},
journal= {arXiv preprint arXiv:2412.16907},
year = {2026}
}
Comments
Citations added. Typos fixed