Frobenius 3-Folds via Singular Flat 3-Webs
@article{Agafonov2012Frobenius3V, title={Frobenius 3-Folds via Singular Flat 3-Webs}, author={Sergey I. Agafonov}, journal={Symmetry Integrability and Geometry-methods and Applications}, year={2012}, volume={8}, pages={078} }
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ admits at least one infinitesimal symmetry, 2) the Chern connection form is holomorphic, 3) the curvature form vanishes identically.
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