Entropy, stability, and Yang–Mills flow

DOI10.1142/S0219199715500327zbMath1336.53040arXiv1410.4547OpenAlexW2963037018MaRDI QIDQ2796991

Jeffrey Streets, Casey Lynn Kelleher

Publication date: 30 March 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4547

zbMATH Keywords

entropystabilitysolitonsgeneric singularitiesYang-Millsgeometric flowconnections over \(\mathbb R^n\)

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (7)

A gradient flow of isometric \(\text{G}_2\)-structures ⋮ Singularity formation of the Yang-Mills flow ⋮ Isometric flows of \(G_2\)-structures ⋮ Yang-Mills flow on special-holonomy manifolds ⋮ Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case ⋮ Estimates and Monotonicity for a heat flow of isometric \(G_2\)-structures ⋮ Stabilities of homothetically shrinking Yang-Mills solitons

Cites Work

• Unnamed Item
• Instantons and singularities in the Yang-Mills flow
• Generic mean curvature flow. I: Generic singularities
• Asymptotic behavior for singularities of the mean curvature flow
• On the evolution of harmonic maps in higher dimensions
• Monotonicity formulas for parabolic flows on manifolds
• Stabilities of homothetically shrinking Yang-Mills solitons
• Geometric Analysis

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