Hermitian–Einstein metrics

E1632405 UNEXPLORED

Hermitian–Einstein metrics are special Hermitian metrics on holomorphic vector bundles over Kähler manifolds whose curvature satisfies an Einstein-type condition, playing a central role in the correspondence between stable bundles and solutions to gauge-theoretic equations.

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Donaldson–Uhlenbeck–Yau theorem about Hermitian–Einstein metrics
Donaldson–Uhlenbeck–Yau theorem implies Hermitian–Einstein bundles are polystable
linked to: Hermitian–Einstein metrics
Hitchin system publication Stable bundles and integrable systems
linked to: Hermitian–Einstein metrics