- Mathematical Sciences and Applications E-Notes
- Vol: 4 Issue: 2
- Para-Quaternionic Structures on the 3-Jet Bundle
Para-Quaternionic Structures on the 3-Jet Bundle
Authors : Bouazza Kacimi, Fouzi Hathout, H. Mohamed Dida, Mokhtaria Barnoussi
Pages : 37-46
Doi:10.36753/mathenot.421451
View : 10 | Download : 6
Publication Date : 2016-10-30
Article Type : Research
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