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    Para-Contact Para-Complex Semi-Riemannian Submersions
    (Springer, 2014) Gunduzalp, Yilmaz; Sahin, Bayram
    We introduce the concept of para-contact para-complex semi- Riemannian submersions from an almost para-contact metric manifold onto an almost para-Hermitian 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 and find the integrability of the horizontal distribution. We also obtain curvature relations between the base manifold and the total manifold. The paper is also focused on the transference of structures defined on the total manifold.
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    Paracontact semi-Riemannian submersions
    (Tubitak Scientific & Technological Research Council Turkey, 2013) Gunduzalp, Yilmaz; Sahin, Bayram
    In this paper, we first define the concept of paracontact semi-Riemannian submersions between almost paracontact metric manifolds, then we provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost paracontact structure of the total manifold. The study is focused on fundamental properties and the transference of structures defined on the total manifold. Moreover, we obtain various properties of the O'Neill's tensors for such submersions and find the integrability of the horizontal distribution. We also find necessary and sufficient conditions for a paracontact semi-Riemannian submersion to be totally geodesic. Finally, we obtain curvature relations between the base manifold and the total manifold.
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    SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS
    (Hacettepe Univ, Fac Sci, 2010) Sahin, Bayram; Gunduzalp, Yilmaz
    In this paper, we introduce the idea of a lightlike submersion from a semi-Riemannian manifold onto a lightlike manifold, and give some examples. Then we define O'Neill's tensors for such submersions and investigate their main properties. We show that the Schouten connection is not a metric connection in a lightlike submersion. We also investigate curvature properties of the manifolds and establish a relation between the null sectional curvatures of a semi-Riemannian manifold and a lightlike manifold.