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On Quasi-Conformally Flat Para-Sasakian ManifoldsÜnal, İnanSarı, RamazanInvariant submanifoldPara-Sasakian manifoldQuasi-conformal curvature tensorIn this paper, we present some new results on invariant submanifolds of a para-Sasakian manifold under the quasi-conformally flatness condition. Firstly, we examine flatness of quasi-conformal curvature tensor on para-Sasakian manifolds. We prove that a quasi-conformally flat para-Sasakian manifold is an η-Einstein manifold. Also, we give some results on the sectional curvature of such manifolds. Secondly, we consider the invariant submanifolds of a quasi-conformally flat para-Sasakian manifold. We prove that a totally umbilical submanifold of a para-Sasakian manifold is invariant. In addition, we investigate curvature properties of such submanifolds and we show that a totally umbilical invariant submanifold of a quasi-conformally flat para-Sasakian manifold is an η-Einstein manifold. Finally, we work on the sectional curvature properties of an invariant submanifold of a quasi-conformally flat para-Sasakian manifold.Association of Mathematicians (MATDER)2020Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/3568https://doi.org/10.47000/tjmcs.7652972148-1830enTurkish Journal of Mathematics and Computer Scienceinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/3568