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Webs and the Plebański equation

Published online by Cambridge University Press:  16 May 2016

WOJCIECH KRYŃSKI
WOJCIECH KRYŃSKI*
Affiliation:
Institute of Mathematics of the Polish Academy of Sciences, Śniadeckich 8, 00-959 Warszawa, Poland. e-mail: krynski@impan.pl
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 3 , November 2016 , pp. 455 - 468
Copyright
Copyright © Cambridge Philosophical Society 2016 

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