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arXiv · 2609.07124

Finite-Time Singularities of the K\"ahler--Ricci Flow on a $\mathbb{C}P^m$-Bundle over a Product of K\"ahler--Einstein Manifolds

Yifan Xiao
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Abstract

In this paper, we study the K\"ahler--Ricci flow on $\mathbb{C}P^m$-bundles over a product of K\"ahler--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.

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Yifan Xiao. 2026-09-07. Finite-Time Singularities of the K\"ahler--Ricci Flow on a $\mathbb{C}P^m$-Bundle over a Product of K\"ahler--Einstein Manifolds. https://arxiv.org/abs/2609.07124

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