On null submanifolds of generalized Robertson-Walker space forms

Authors

FORTUNE MASSAMBA
Mohamed H. A. Hamed
SAMUEL SSEKAJJA

Abstract

We investigate totally umbilical $r$-null submanifolds of generalized Robertson-Walker space forms. Using generalized Newton transformations, we obtain new geometric configurations for the mean curvature functions which generalize many well-known results on null geometry.

DOI

10.3906/mat-1812-20

Keywords

Generalized Robertson-Walker space form, totally umbilical null submanifold

First Page

1650

Last Page

1667

Recommended Citation

MASSAMBA, F, Hamed, M. H, & SSEKAJJA, S (2019). On null submanifolds of generalized Robertson-Walker space forms. Turkish Journal of Mathematics 43 (3): 1650-1667. https://doi.org/10.3906/mat-1812-20