On the Integrability of Generalized Almost para-Norden and para-Hermitian Structures

In this paper, we investigate the. integrability of generalized almost para-Norden/para-Hermitian structures on the big-tangent bundle of smooth manifolds endowed with some additional structures. We also study their invariance under a B-field transformation of the first and second types, respectively. Finally, we obtain a relation between. integrability and the standard Courant integrability of generalized almost para-Norden or para-Hermitian structures, and we give some conditions for the equivalence of these kinds of integrability, in some particular cases.