PARA-CONTACT PRODUCT SEMI-RIEMANNIAN SUBMERSIONS

We introduce the concept of para-contact product semi-Riemannian submersions from an almost para-contact metric manifold onto a semi-Riemannian product manifold. We provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost para-contact structure of the total manifold. Moreover, we investigate various properties of the O'Neill's tensors of such submersions, find the integrability of the horizontal distribution. The paper is also focused on the transference of structures defined on the total manifold.