Ricci Flow on CP1-bundles over a Product of Kähler-Einstein Manifolds

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Frederick Fong, Hung Tran
DOI: 10.48550/arxiv.2601.18931
Cited by: 0

Abstract

In this paper, we study the Ricci flow on CP1-bundles over a product of Kähler-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 Kähler case, we proved that Type I finite-time singularity must occur under such an ansatz.

Fields of Study & Subjects

Geometry and complex manifolds Geometric Analysis and Curvature Flows Advanced Differential Geometry Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 January 2026
Document type
Preprint