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arXiv · 2601.18931

Ricci Flow on CP1-bundles over a Product of K\"ahler-Einstein Manifolds

Frederick Tsz-Ho Fong·Hung Tran
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Abstract

In this paper, we study the Ricci flow on CP1-bundles over a product of K\"ahler-Einstein manifolds whose initial metric is constructed by the ansatz used in works by M. Wang et. al. We prove that the ansatz is preserved along the Ricci flow. Furthermore, in the K\"ahler case, we proved that Type I finite-time singularity must occur under such an ansatz.

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Frederick Tsz-Ho Fong, Hung Tran. 2026-01-26. Ricci Flow on CP1-bundles over a Product of K\"ahler-Einstein Manifolds. https://arxiv.org/abs/2601.18931

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