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arXiv · 1508.05234

Webs and the Plebański equation

Wojciech Krynski
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Abstract

We consider 3-webs, hyper-para-complex structures and integrable Segre structures on manifolds of even dimension and generalise the second heavenly Plebański 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.

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Wojciech Krynski. 2015-08-21. Webs and the Plebański equation. https://doi.org/10.1017/s0305004116000463

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