PreprintCC BY 4.0arXiv
Uniqueness of Ricci flows from singular initial data
Abstract
We establish uniqueness of Ricci flows with non-negative sectional curvatures and scaling invariant curvature bounds, assuming that the induced distance functions converge to the same initial distance function up to isometry. In the compact case, restricting the size of the initial singular set, we also establish uniqueness under suitable weaker conditions.
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BibTeX
@misc{flower2026uniqueness,
title = {{Uniqueness of Ricci flows from singular initial data}},
author = {Laura Flower and Man-Chun Lee and Felix Schulze},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06814},
eprint = {2611.06814},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06814},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Uniqueness of Ricci flows from singular initial data
AU - Laura Flower
AU - Man-Chun Lee
AU - Felix Schulze
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06814
UR - https://arxiv.org/abs/2611.06814
AB - We establish uniqueness of Ricci flows with non-negative sectional curvatures and scaling invariant curvature bounds, assuming that the induced distance functions converge to the same initial distance function up to isometry. In the compact case, restricting the size of the initial singular set, we also establish uniqueness under suitable weaker conditions.
ER -