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math.DG2022
On the Gauduchon Curvature of Hermitian Manifolds
Kyle Broder, James Stanfield
It is shown that many results, previously believed to be properties of the Lichnerowicz Ricci curvature, hold for the Ricci curvature of all Gauduchon connections. We prove the exi…
math.DG2022★ 1 cited
Hermitian manifolds with flat Gauduchon connections
Ramiro A. Lafuente, James Stanfield
We complete the classification of compact Hermitian manifolds admitting a flat Gauduchon connection. In particular, we establish a conjecture of Yang and Zheng, showing that apart…