@inbook{65b5957e1cc240bbac97b65a196ece83,
title = "Non-K{\"a}hler calabi-yau manifolds",
abstract = "We study the class of compact complex manifolds whose first Chern class vanishes in the Bott-Chern cohomology. This class includes all manifolds with torsion canonical bundle, but it is strictly larger. After making some elementary remarks, we show that a manifold in Fujiki{\textquoteright}s class C with vanishing first Bott-Chern class has torsion canonical bundle. We also give some examples of non-K{\"a}hler Calabi-Yau manifolds, and discuss the problem of defining and constructing canonical metrics on them.",
keywords = "Calabi-Yau manifolds, Canonical bundle, Non-K{\"a}hler manifolds",
author = "Valentino Tosatti",
note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",
year = "2015",
doi = "10.1090/conm/644/12770",
language = "English (US)",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "261--277",
booktitle = "Contemporary Mathematics",
}