Yifan Xiao — Neckpinchhttps://neckpinch.com/authors/yifan-xiao/New arXiv papers by Yifan Xiao, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Finite-Time Singularities of the Kähler–Ricci Flow on a ℂP^m-Bundle over a Product of Kähler–Einstein Manifoldshttps://neckpinch.com/papers/2609.07124/arxiv:2609.07124Mon, 07 Sep 2026 00:00:00 GMTYifan Xiao — In this paper, we study the Kähler–Ricci flow on ℂP^m-bundles over a product of Kähler–Einstein manifolds, starting from an initial metric with Calabi symmetry. We prove that every finite-time singularity arising along the flow must be of Type I.Ricci flowKähler–Ricci flowEinstein metricsSingularitiesKähler geometryKähler–Einstein & K-stability