PreprintCC0arXiv
On the tangent flows of noncollapsed Ricci flow limit spaces
Abstract
We study tangent flows of noncollapsed Ricci flow limit spaces in the sense of Fang-Li. We prove that the regular part of every negative time slice is geodesically convex: any minimizing geodesic that meets the regular part has its entire interior contained in it. We also identify each negative time slice with the metric completion of its regular Riemannian part, thereby identifying the negative-time tangent flow with its associated metric soliton.
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BibTeX
@misc{li2026tangent,
title = {{On the tangent flows of noncollapsed Ricci flow limit spaces}},
author = {Yu Li and Bing Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05204},
eprint = {2610.05204},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05204},
note = {CC0},
}
RIS
TY - UNPB
TI - On the tangent flows of noncollapsed Ricci flow limit spaces
AU - Yu Li
AU - Bing Wang
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.05204
UR - https://arxiv.org/abs/2610.05204
AB - We study tangent flows of noncollapsed Ricci flow limit spaces in the sense of Fang-Li. We prove that the regular part of every negative time slice is geodesically convex: any minimizing geodesic that meets the regular part has its entire interior contained in it. We also identify each negative time slice with the metric completion of its regular Riemannian part, thereby identifying the negative-time tangent flow with its associated metric soliton.
ER -