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Article Dans Une Revue Central European Journal of Mathematics Année : 2012

Non trivial examples of coupled equations for K\"ahler metrics and Yang-Mills connections

Résumé

We provide non trivial examples of solutions to the system of coupled equations introduced by M. Garc\'ia-Fern\'andez 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 K\"ahler metric and Hermitian-Einstein metric.

Dates et versions

hal-01282473 , version 1 (03-03-2016)

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Julien Keller, Christina W. Tønnesen-Friedman. Non trivial examples of coupled equations for K\"ahler metrics and Yang-Mills connections. Central European Journal of Mathematics, 2012, 10 (5), ⟨10.2478/s11533-012-0088-5⟩. ⟨hal-01282473⟩
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