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Four-dimensional generalized Ricci flows with nilpotent symmetry
Journal article   Peer reviewed

Four-dimensional generalized Ricci flows with nilpotent symmetry

Steven Gindi and Jeffrey Streets
Communications in contemporary mathematics
05/20/2022

Abstract

Mathematics
We study solutions to generalized Ricci flow on four-manifolds with a nilpotent, codimension 1 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.

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