Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-15
Primary Topic
Geometric Analysis and Curvature Flows
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article
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article

Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions

ArXiv.org
Geometric Analysis and Curvature Flows
article

Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions

article en

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.

ArXiv.org
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Geometric Analysis and Curvature Flows
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Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions · ArXiv.org (2025) | TGRS Research Map | TGRS