Frobenius 3-Folds via Singular Flat 3-Webs
Differential Geometry
2015-03-20 v2 Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1206.0372,
title = {Frobenius 3-Folds via Singular Flat 3-Webs},
author = {Sergey I. Agafonov},
journal= {arXiv preprint arXiv:1206.0372},
year = {2015}
}