On the fundamental group of non-collapsed ancient Ricci flows
Differential Geometry
2021-10-07 v1 Analysis of PDEs
Abstract
We show that any manifold admitting a non-collapsed, ancient Ricci flow must have finite fundamental group. This generalizes what was known for -solutions in dimensions 2, 3. We furthermore show that this fundamental group must be a quotient of the fundamental group of the regular part of any tangent flow at infinity.
Cite
@article{arxiv.2110.02254,
title = {On the fundamental group of non-collapsed ancient Ricci flows},
author = {Richard H. Bamler},
journal= {arXiv preprint arXiv:2110.02254},
year = {2021}
}
Comments
9 pages