PreprintCC BY-NC-SA 4.0arXiv
Shrinking Kähler-Ricci solitons on toric fano fibrations
Abstract
We prove that a smooth toric Fano fibration admits a complete gradient shrinking Kähler-Ricci soliton.
Related
- Kählerity of complete almost-Kähler gradient shrinking Ricci solitons
- Uniqueness of the soliton vector field of a shrinking gradient Kähler-Ricci soliton
- Singular Kähler--Ricci shrinkers and polarized Fano fibrations
- Rigidity of shrinking Ricci solitons with low-dimensional focal sets
- Extremal Kähler--Ricci solitons on Fano manifolds are Kähler--Einstein
BibTeX
@misc{collins2026shrinking,
title = {{Shrinking Kähler-Ricci solitons on toric fano fibrations}},
author = {Tristan C. Collins and Genggeng Huang and Freid Tong and Yulun Xu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24884},
eprint = {2609.24884},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24884},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Shrinking Kähler-Ricci solitons on toric fano fibrations
AU - Tristan C. Collins
AU - Genggeng Huang
AU - Freid Tong
AU - Yulun Xu
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24884
UR - https://arxiv.org/abs/2609.24884
AB - We prove that a smooth toric Fano fibration admits a complete gradient shrinking Kähler-Ricci soliton.
ER -