Geodesic
A new approach to totally umbilical null submanifolds
Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2.

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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.
Publié le :
DOI : 10.30755/NSJOM.05090
Classification : 53C25, 53C40, 53C50
Keywords: Null submanifold, generalized Newton tranformation, umbilical null submanifold 
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     author = {Fortun\'e Massamba and Samuel Ssekajja},
     title = {A new approach to totally umbilical null submanifolds},
     journal = {Novi Sad Journal of Mathematics},
     pages = {63 - 76},
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     volume = {47},
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     year = {2017},
     doi = {10.30755/NSJOM.05090},
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Fortuné Massamba; Samuel Ssekajja. A new approach to totally umbilical null submanifolds. Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2. doi : 10.30755/NSJOM.05090. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.05090/

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