Şahin, Bayram2020-09-232020-09-232007ŞAHİN B (2007). Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semisymmetry type. Turkish Journal of Mathematics, 31(2), 139 - 162.1300-00981303-6149https://hdl.handle.net/11616/18132https://search.trdizin.gov.tr/yayin/detay/67205Yıl: 2007Cilt: 31Sayı: 2ISSN: 1300-0098 / 1303-6149Sayfa Aralığı: 139 - 162Metin Dili:İngilizceAbstract: In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-symmetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen conformal lightlike hypersurface of the Minkowski spacetime is semi-symmetric. For higher dimensions, we show that the semi-symmetry condition of a screen conformal lightlike hypersurface reduces to the semi-symmetry condition of a leaf of its screen distribution. We also obtain that semi-symmetric and Ricci semi-symmetric lightlike hypersurfaces are totally geodesic under certain conditions. Moreover, we show that there exist no non-totally geodesic parallel hypersurfaces in a Lorentzian s pace.trinfo:eu-repo/semantics/openAccessArticle31213916267205WOS:000254995200003N/A