Aydın, Sibel GerdanTaştan, Hakan Mete2021-11-292021-11-292020-12-31https://doi.org/10.31801/cfsuasmas.635048http://hdl.handle.net/20.500.12575/76425We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product. As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4.enDoubly warped productWarped productDirect productArticle692132913352618-6470