Stable Forms, Vector Cross Products and Their Applications in Geometry
Differential Geometry
2015-07-03 v2 High Energy Physics - Theory
Mathematical Physics
Complex Variables
math.MP
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.
Cite
@article{arxiv.1504.02807,
title = {Stable Forms, Vector Cross Products and Their Applications in Geometry},
author = {Teng Fei},
journal= {arXiv preprint arXiv:1504.02807},
year = {2015}
}
Comments
23 pages, comments are welcome! Updates in v2: more references are added, discussion on Killing spinor equation is included