| Titre |
Pseudo – Jacobi operators and Osserman lightlike hypersurfaces |
| Auteurs |
ATINDOGBE COMLAN CYRIAQUE [1],
DUGGAL Krishan Lal [2],
|
| Journal: |
Kodai Mathemaical Journal |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0 |
| Volume Journal: |
32 |
| DOI: |
|
| Resume |
We study pseudo-Jacobi operators associated to algebraic curvature maps on
lightlike hypersurfaces M and investigate conditions for an induced Riemann curvature
tensor to be an algebraic curvature map on M. Two examples are provided with
explicit determination of their pseudo-Jacobi operators. Finally, we introduce the
notion of lightlike Osserman hypersurfaces and prove some characterization results. |
| Mots clés |
Lightlike hypersurfaces, admissible screen, algebraic curvature map, pseudo-Jacobi operator, Osserman condition. |
| Pages |
91 - 108 |
| Fichier |
(PDF) |