A multiplicity estimate for the Jacobi operator of a nonflat Yang-Mills field over \(\mathbb{S}^m\)

DOI10.1007/s10711-023-00817-8zbMath1525.53028arXiv2209.08090MaRDI QIDQ6093589

Lei Ni

Publication date: 7 September 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.08090

zbMATH Keywords

harmonic mapsJacobi operatorYang-Mills functionalYang-Mills connections

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Differential geometric aspects of harmonic maps (53C43) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

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• Geometry of harmonic maps
• An isoperimetric inequality for Laplace eigenvalues on the sphere
• Index of minimal spheres and isoperimetric eigenvalue inequalities
• Minimal varieties in Riemannian manifolds
• Stability and gap phenomena for Yang-Mills fields
• An alternate induction argument in Simons’ proof of holonomy theorem
• The Tension Field of the Gauss Map
• Harmonic Mappings of Riemannian Manifolds

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