Non-existence of proper warped product semi-slant submanifolds in a Lorentzian nearly paracosymplectic manifold

Abstract

We define the Lorentzian nearly cosymplectic condition and prove that proper warped product semi-slant submanifolds do not exist in a Lorentzian nearly paracosymplectic manifold. As a corollary, we also demonstrate the non-existence of proper warped product semi-invariant submanifolds in such a manifold.