Stable Forms, Vector Cross Products and Their Applications in Geometry
classification
🧮 math.DG
hep-thmath-phmath.CVmath.MP
keywords
crossformsproductsstablevectorapplicationscalabicalabi-yau
read the original 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.
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