Para-Quaternionic Structures on the 3-Jet Bundle
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.
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