Keles, SadikKilic, ErolTripathi, Mukut ManiPerktas, Selcen Yuksel2024-08-042024-08-0420132307-41082307-4116https://hdl.handle.net/11616/96507Einstein like (epsilon)-para Sasakian manifolds are introduced. For an (epsilon)-para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained. The scalar curvature of an Einstein like (epsilon)-para Sasakian manifold is obtained and it is shown that the scalar curvature in this case must satisfy certain differential equation. A necessary and sufficient condition for an (epsilon)-almost paracontact metric hypersurface of an indefinite locally Riemannian product manifold to be (epsilon)-para Sasakian is obtained and it is proved that the (epsilon)-para Sasakian hypersurface of an indefinite locally Riemannian product manifold of almost constant curvature is always Einstein like.eninfo:eu-repo/semantics/closedAccessEinstein like (epsilon)-para Sasakian manifoldindefinite locally Riemannian product manifoldArticle40231422-s2.0-84904467232Q2WOS:000333064700003N/A