# The nonabelian Hodge correspondence for balanced hermitian metrics of Hodge-Riemann type

@inproceedings{Chen2021TheNH, title={The nonabelian Hodge correspondence for balanced hermitian metrics of Hodge-Riemann type}, author={Xuemiao Chen and R. Wentworth}, year={2021} }

This paper extends the nonabelian Hodge correspondence for Kähler manifolds to a larger class of hermitian metrics on complex manifolds called balanced of Hodge-Riemann type. Essentially, it grows out of a few key observations so that the known results, especially the Donaldson-Uhlenbeck-Yau theorem and Corlette’s theorem, can be applied in our setting. Though not necessarily Kähler, we show that the Sampson-Siu Theorem proving that harmonic maps are pluriharmonic remains valid for a slightly… Expand

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On a Riemannian manifold of dimension n we extend the known analytic results on Yang-Mills connections to the class of connections called Ω-Yang-Mills connections, where Ω is a smooth, not… Expand

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