Erdogan, MehmetAlo, Jeta2024-03-132024-03-1320221686-0209https://hdl.handle.net/20.500.12662/4056In this work, the Tanaka-Webster connection on a Lorentzian Sasakian manifold is defined and the notions xi-quasi conformally and xi-pseudo projectively flat structures on a Lorentzian Sasakian manifold are introduced. After that, it is proved that if any Lorentzian Sasakian manifold with Tanaka-Webster connection is an eta- Einstein manifold, then the Thnaka-Webster connection (del) over cap is xi-conformally flat. Furthermore, we give some structure theorems on Lorentzian Sasakian manifold with respect to the Tanaka-Webster connection.eninfo:eu-repo/semantics/closedAccessLorentzian Sasakian manifoldTanaka-Webster connectionxi-conformally flatxi-pseudo projectively flatArticle2-s2.0-85129212327191Q41320WOS:000782646300002N/A