PreprintarXiv licencearXiv
Uniqueness of the soliton vector field of a shrinking gradient Kähler-Ricci soliton
Abstract
We establish the uniqueness of the soliton vector field of a complete shrinking gradient Kähler-Ricci soliton up to pushforward by biholomorphism.
Related
- Kählerity of complete almost-Kähler gradient shrinking Ricci solitons
- Shrinking Kähler-Ricci solitons on toric fano fibrations
- Uniqueness of self-shrinking ends asymptotic to a cylindrical cone
- Asymptotically conical shrinking ends of the r-mean curvature flow: rotational construction and uniqueness
- Complete steady and shrinking gradient Yamabe solitons
BibTeX
@misc{conlon2026uniqueness,
title = {{Uniqueness of the soliton vector field of a shrinking gradient Kähler-Ricci soliton}},
author = {Ronan J. Conlon and Alix Deruelle},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02164},
eprint = {2610.02164},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02164},
}
RIS
TY - UNPB
TI - Uniqueness of the soliton vector field of a shrinking gradient Kähler-Ricci soliton
AU - Ronan J. Conlon
AU - Alix Deruelle
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.02164
UR - https://arxiv.org/abs/2610.02164
AB - We establish the uniqueness of the soliton vector field of a complete shrinking gradient Kähler-Ricci soliton up to pushforward by biholomorphism.
ER -