Webs and the Pleba\'nski equation
Differential Geometry
2016-05-25 v1
Abstract
We consider 3-webs, hyper-para-complex structures and integrable Segre structures on manifolds of even dimension and generalise the second heavenly Pleba\'nski equation in the context of higher-dimensional hyper-para-complex structures. We also characterise the Segre structures admitting a compatible hyper-para-complex structure in terms of systems of ordinary differential equations.
Cite
@article{arxiv.1508.05234,
title = {Webs and the Pleba\'nski equation},
author = {Wojciech Krynski},
journal= {arXiv preprint arXiv:1508.05234},
year = {2016}
}