PARA-CONTACT PRODUCT SEMI-RIEMANNIAN SUBMERSIONS

Abstract

We introduce the concept of para-contact product semi-Riemanniansubmersions from an almost para-contact metric manifold onto a semi-Riemannianproduct manifold. We provide an example and show that the vertical andhorizontal distributions of such submersions are invariant with respect to thealmost para-contact structure of the total manifold. Moreover, we investigatevarious properties of the O'Neill's tensors of such submersions, ...nd the integrability of the horizontal distribution. The paper is also focused on thetransference of structures de...ned on the total manifold.