PreprintCC0arXiv
Parametrization of ancient Ricci flows with smooth compact tangent shrinkers
Abstract
We study ancient Ricci flows whose tangent flow at backward infinity is a smooth compact Ricci shrinker. After normalization, every nontrivial solution either converges exponentially or has polynomial decay governed by neutral directions. We recover the finite-dimensional parametrization of the exponentially convergent solutions and establish finite-order asymptotic expansions for all slowly convergent solutions. For principal slow solutions, we obtain a locally bijective finite-dimensional parametrization compatible with diffeomorphisms, parabolic rescaling, and time translation.
Related
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- Slope stability of tangent bundles of smooth toric Fano varieties
BibTeX
@misc{li2026parametrization,
title = {{Parametrization of ancient Ricci flows with smooth compact tangent shrinkers}},
author = {Yu Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30939},
eprint = {2610.30939},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30939},
note = {CC0},
}
RIS
TY - UNPB
TI - Parametrization of ancient Ricci flows with smooth compact tangent shrinkers
AU - Yu Li
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.30939
UR - https://arxiv.org/abs/2610.30939
AB - We study ancient Ricci flows whose tangent flow at backward infinity is a smooth compact Ricci shrinker. After normalization, every nontrivial solution either converges exponentially or has polynomial decay governed by neutral directions. We recover the finite-dimensional parametrization of the exponentially convergent solutions and establish finite-order asymptotic expansions for all slowly convergent solutions. For principal slow solutions, we obtain a locally bijective finite-dimensional parametrization compatible with diffeomorphisms, parabolic rescaling, and time translation.
ER -