Perktas, Selcen YukselKilic, ErolKeles, Sadik2024-08-042024-08-0420122193-53432193-5351https://doi.org/10.1007/s40065-012-0037-yhttps://hdl.handle.net/11616/97772In this paper we study the warped product submanifolds of a Lorentzian paracosymplectic manifold and obtain some nonexistence results. We show that a warped product semi-invariant submanifold in the form M = M-inverted perpendicular x (f) M-perpendicular to of a Lorentzian paracosymplectic manifold such that the characteristic vector field is normal to M is a usual Riemannian product manifold where totally geodesic and totally umbilical submanifolds of warped product are invariant and anti-invariant, respectively. We prove that the distributions involved in the definition of a warped product semi-invariant submanifold are always integrable. A necessary and sufficient condition for a semi-invariant submanifold of a Lorentzian paracosymplectic manifold to be warped product semi-invariant submanifold is obtained. We also investigate the existence and nonexistence of warped product semi-slant and warped product anti-slant submanifolds in a Lorentzian paracosymplectic manifold.eninfo:eu-repo/semantics/openAccess[No Keywords]Article1337739310.1007/s40065-012-0037-y2-s2.0-85016905184Q3WOS:000215139200010N/A