Einstein metrics and stability for flat connections on compact Hermitian manifolds, and a correspondence with Higgs operators in the surface case

zbMath0977.53022MaRDI QIDQ1304193

Martin Luebke

Publication date: 20 October 1999

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227993

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zbMATH Keywords

stabilityEinstein metricscompact Hermitian manifoldsflat complex vector bundles

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Kähler-Einstein manifolds (32Q20)

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The non-abelian Hodge correspondence on some non-Kähler manifolds

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