摘要: We study the class of compact complex manifolds whose first Chern vanishes in Bott-Chern cohomology. This includes all with torsion canonical bundle, but it is strictly larger. After making some elementary remarks, we show that a manifold Fujiki's C vanishing has bundle. also give examples non-Kahler Calabi-Yau manifolds, and discuss problem defining constructing metrics on them.
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