Canfes, Elif OzkaraÖzdeğer, Abdülkadir2019-06-272019-06-27201300041-59951573-93760041-59951573-9376https://hdl.handle.net/20.500.12469/791https://doi.org/10.1007/s11253-013-0801-yThe idea of considering the second fundamental form of a hypersurface as the first fundamental form of another hypersurface has found very useful applications in Riemannian and semi-Riemannian geometry especially when trying to characterize extrinsic hyperspheres and ovaloids. Recently T. Adachi and S. Maeda gave a characterization of totally umbilical hypersurfaces in a space form by circles. In our paper we give a characterization of totally umbilical hypersurfaces of a space form by means of geodesic mapping.eninfo:eu-repo/semantics/openAccessArticle643648465WOS:00032672140001110.1007/s11253-013-0801-y2-s2.0-84887320550N/AQ3