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Finite-Time Singularities of the Kähler--Ricci Flow on a ℂPm-Bundle over a Product of Kähler--Einstein Manifolds

  • Yifan Xiao
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Abstract

In this paper, we study the Kähler--Ricci flow on ℂPm-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.

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Cite

BibTeXRIS
BibTeX
@misc{xiao2026finitetime,
  title = {{Finite-Time Singularities of the Kähler--Ricci Flow on a $\mathbbCP^m$-Bundle over a Product of Kähler--Einstein Manifolds}},
  author = {Yifan Xiao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07124},
  eprint = {2609.07124},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07124},
}
RIS
TY  - UNPB
TI  - Finite-Time Singularities of the Kähler--Ricci Flow on a ℂP^m-Bundle over a Product of Kähler--Einstein Manifolds
AU  - Yifan Xiao
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.07124
UR  - https://arxiv.org/abs/2609.07124
AB  - 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.
ER  -