Deformation of complex structures and the coupled Kähler-Yang-Mills equations

DOI10.1112/jlms/jdt084zbMath1300.53026arXiv1301.4480OpenAlexW2035136719MaRDI QIDQ5494403

Mario García-Fernández, Carl Tipler

Publication date: 28 July 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4480

zbMATH Keywords

Kähler manifoldcoupled systemHermitian-Einsteindeformation of complex structureKuranishiconstants scalar curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Critical metrics (58E11)

Related Items (3)

Polystable bundles and representations of their automorphisms ⋮ Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry ⋮ Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations

Cites Work

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• Coupled equations for Kähler metrics and Yang-Mills connections
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• Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
• Scalar curvature and projective embeddings. I
• On joint moduli spaces
• Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections
• On deformations of complex analytic structures. I
• The Kähler-Ricci flow and K-polystability
• The Yang-Mills equations over Riemann surfaces

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