Long-time behavior of awesome homogeneous Ricci flows

2023/12/27 by Araujo, Roberto · 1 citation
#53C30 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.16517

Abstract

We show that the set of awesome homogeneous metrics on non-compact manifolds is Ricci flow invariant. Moreover, if the universal cover of such awesome homogeneous space is not contractible the Ricci flow has finite extinction time, confirming the Dynamical Alekseevskii Conjecture in this case. We also analyze the long-time limits of awesome homogeneous Ricci flows.

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• Finite extinction time of a family of homogeneous Ricci flows

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