In this paper, we study totally umbilical $r$-null submanifolds, with $r\ge1$, of a semi-Riemannian manifold using new objects called generalized Newton transformations. We prove that the results presented here are umbrella of the well-known results for totally umbilical null hypersurfaces, totally umbilical half-null submanifolds and generally, totally umbilical $r$-null submanifolds.
@article{5090,
title = {A new approach to totally umbilical null submanifolds},
journal = {Novi Sad Journal of Mathematics},
volume = {46},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/5090}
}
MASSAMBA, FORTUNE; Ssekajja, Samuel. A new approach to totally umbilical null submanifolds. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/5090/