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On Hermitian manifolds, the second Ricci curvature tensors of various metric connectionsare closely related to the geometry of Hermitian manifolds. By refining the Bochnerformulas for any Hermitian co...
By refining the Bochner formulas for any Hermitian complex vector bundle with an arbitrary metric connection over a compact Hermitian manifold, we can kill torsion and derive various vanishing theore...