Abstract
In this paper, we define and study quasi Hemi-slant submanifolds of Lorentzian almost contact metric manifolds. We mainly concern with quasi Hemi-slant submanifolds of LP-cosymplectic manifolds. First, we find conditions for integrability of distributions involved in the definition of quasi hemislant submanifolds of LP-cosymplectic manifolds. Further, we investigate the necessary and sufficient conditions for quasi Hemi-slant submanifolds of LP-cosymplectic manifolds to be totally geodesic and geometry of foliations are determined.
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