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Hermitian Connections with Parallel Torsion and the Fino--Vezzoni Conjecture

Chen, Shuwen et al.
arXiv (All) · Papers
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differential-geometry
We prove that the Fino--Vezzoni conjecture holds on every compact complex manifold carrying a Hermitian connection with parallel torsion. More precisely, if a compact connected complex manifold carries a Hermitian metric $g$ and a Hermitian connection $D$ with $DT^D=0$, then the coexistence of a bal
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