Para-contact product semi-Riemannian submersions

Authors : Yılmaz GÜNDÜZALP

Pages : 205-217

Doi:10.1501/Commua1_0000000812

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Publication Date : 2017-08-01

Article Type : Research Paper

Abstract :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, fnd the integrability of the horizontal distribution. The paper is also focused on the transference of structures defined on the total manifold
Keywords : Almost para contact metric manifold, semi Riemannian product manifold, semi Riemannian submersion, para contact product semi Riemannian submersion