Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections

• Autorzy: Julien Keller , Christina Tønnesen-Friedman
• Języki publikacji: EN

Abstrakty

EN

We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.

Słowa kluczowe

EN

Scalar curvature; Projective bundle; Kähler manifold; Polarization; Stability; Coupled equations; Moment map; Ruled manifold

Kategorie tematyczne

• 53C55: Hermitian and K\"ahlerian manifolds
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C07: Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
• 58E11: Critical metrics

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 5
• Strony: 1673-1687

Daty

wydano

2012-10-01

online

2012-07-24

Twórcy

autor

Julien Keller

• Université d’Aix-Marseille, Technopôle de Château Gombert

autor

Christina Tønnesen-Friedman

• Union College

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0088-5