Para-Quaternionic Structures on the 3-Jet Bundle

Year 2016, Volume: 4 Issue: 2, 37 - 46, 30.10.2016

Bouazza Kacimi Fouzi Hathout H.mohamed Dida Mokhtaria Barnoussi

https://doi.org/10.36753/mathenot.421451

Abstract

In this paper we construct an almost para-quaternionic structure on the 3-jet bundle of an almost parahermitian
manifold and we study its integrability. We give a necessary and sufficient conditions that are
provided for these structures to become para-hyper-Kähler and we prove that the 3-jet bundle can not be
a para-quaternionic Kähler manifold. 

Keywords

Para-quaternionic, para-hyperhermitian, 3-jet bundle, λ -lift; diagonal metric

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