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arXiv · 2503.12210

Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions

Sigurd B. Angenent·Dan Knopf
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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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Sigurd B. Angenent, Dan Knopf. 2025-03-15. Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions. https://arxiv.org/abs/2503.12210

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