Para-Quaternionic Structures on the 3-Jet Bundle

Yıl 2016, Cilt: 4 Sayı: 2, 37 - 46, 30.10.2016

Bouazza Kacimi Fouzi Hathout H.mohamed Dida Mokhtaria Barnoussi

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

Öz

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. 

Anahtar Kelimeler

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

Kaynakça

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