Warped product manifolds provide a natural extension of classical space forms and arise widely in differential geometry, comparison geometry, and mathematical relativity. This talk begins with the basic geometric structure and historical role of warped products, emphasizing their relation to model spaces and conformal geometry. We then study when a warped product can be conformally reduced to a standard product after a suitable diffeomorphism. This leads to a geometric de-warping problem governed by curvature. In dimension two, the obstruction is described by a scalar elliptic equation, while in higher dimensions it becomes an overdetermined tensorial system closely related to conformal rigidity and Obata-type equations. The talk concludes with several questions on exact rigidity, quantitative stability, and critical conformal obstructions.