Kayhan, Aykut2024-07-122024-07-122023Kayhan, A. (2023). A classification of parallel normalized biconservative submanifold in the minkowski space in arbitrary dimension. International Electronic Journal Of Geometry, 16(2), p.653-664.10.36890/IEJG.12632032-s2.0-85176271872https://doi.prg/10.36890/IEJG.1263203https://hdl.handle.net/20.500.12415/1036In this paper, we examine PNMCV-MCGL biconservative submanifold in a Minkowski space E n+2 1 with nondiagonalizable shape operator, where PNMCV-MCGL submanifold denotes a submanifold with parallel normalized mean curvature vector and the mean curvature whose gradient is lightlike (??H, ?H? = 0). We obtain some conditions about connection forms, principal curvatures and some results about them. Then we use them to obtain a classification of such submanifolds. Finally, we showed that there is no biconservative such submanifold in Minkowski space of arbitrary dimension.eninfo:eu-repo/semantics/openAccessBiconservative submanifoldsNon-diagonalizable shape operatorMinkowski spaceBiconservative isometric immersionsA classification of parallel normalized biconservative submanifold in the minkowski space in arbitrary dimensionArticle664265316WOS:001099805800005N/A