Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions

2025/03/15 by Angenent, Sigurd B., Knopf, Dan
#35C08 #35K59 #53C21 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.12210

Abstract

Regarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and provide examples satisfying those criteria that have uncountably many unstable perturbations.

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