Stable Forms, Vector Cross Products and Their Applications in Geometry
arXiv:1504.02807
Abstract
The connection between Hitchin's stable forms and vector cross products is observed. Using this correspondence, we construct new examples of non-Kahler Calabi-Yau 3-folds and manifolds with G2-structure of class W3. We also generalize and refine results of Calabi and Gray in the paracomplex setting.
23 pages, comments are welcome! Updates in v2: more references are added, discussion on Killing spinor equation is included