Four-dimensional generalized Ricci flows with nilpotent symmetry
Differential Geometry
2021-09-17 v1
Abstract
We study solutions to generalized Ricci flow on four-manifolds with a nilpotent, codimension symmetry. We show that all such flows are immortal, and satisfy type III curvature and diameter estimates. Using a new kind of monotone energy adapted to this setting, we show that blowdown limits lie in a canonical finite-dimensional family of solutions. The results are new for Ricci flow.
Keywords
Cite
@article{arxiv.2109.07562,
title = {Four-dimensional generalized Ricci flows with nilpotent symmetry},
author = {Steven Gindi and Jeffrey Streets},
journal= {arXiv preprint arXiv:2109.07562},
year = {2021}
}