https://neckpinch.com/authors/hanci-chi/New arXiv papers by Hanci Chi, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2412.16907/arxiv:2412.16907Sun, 22 Dec 2024 00:00:00 GMTHanci Chi — We construct a continuous 3-parameter family of non-shrinking Ricci solitons complex line bundles O(k) over ℂP}^(2m+1), where the base space is not necessarily Kähler–Einstein. Each O(k) with k∈ [3,2m+1] admits at least one asymptotically conical (AC) Ricci-flat metric in this family. For each O(k) with k≥ 3, the family includes infinitely many asymptotically paraboloidal (AP) steady Ricci soliton.Ricci solitonsEinstein metricsRicci-flat & Calabi–Yau(Non)collapsingKähler geometryBoundaries & non-compactKähler–Einstein & K-stability https://neckpinch.com/papers/2411.00581/arxiv:2411.00581Fri, 01 Nov 2024 00:00:00 GMTHanci Chi — We establish the existence of two 3-parameter families of non-Einstein, non-shrinking Ricci solitons: one on ℍ^(m+1) and one on ℍP}^(m+1)backslash\*\. Each family includes a continuous 1-parameter subfamily of asymptotically paraboloidal (non-collapsed) steady Ricci solitons, with the Jensen sphere as the base. Additionally, we extend this result by proving the existence of a 2-parameter family on O², which contains a 1-parameter subfamily of asymptotically paraboloidal steady Ricci solitons based on the Bourguignon–Karcher sphere.Ricci solitons(Non)collapsingHomogeneous spaces