Para-Quaternionic Structures on the 3-Jet Bundle

Authors : Bouazza KACİMİ, Fouzi HATHOUT, Hmohamed DİDA, Mokhtaria BARNOUSSİ

Pages : 37-46

Doi:10.36753/mathenot.421451

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Publication Date : 2016-10-30

Article Type : Research Paper

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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