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arXiv · 2109.07562

Four-dimensional generalized Ricci flows with nilpotent symmetry

Steven Gindi·Jeffrey Streets
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Abstract

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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Steven Gindi, Jeffrey Streets. 2021-09-15. Four-dimensional generalized Ricci flows with nilpotent symmetry. https://arxiv.org/abs/2109.07562

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