Pseudo-Jacobi operators and Osserman lightlike hypersurfaces
Atindogbe, Cyriaque ; Duggal, Krishan L.
Kodai Math. J., Tome 32 (2009) no. 1, p. 91-108 / Harvested from Project Euclid
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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.
Publié le : 2009-03-15
Classification:  
@article{1238594548,
     author = {Atindogbe, Cyriaque and Duggal, Krishan L.},
     title = {Pseudo-Jacobi operators and Osserman lightlike hypersurfaces},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 91-108},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1238594548}
}

Atindogbe, Cyriaque; Duggal, Krishan L. Pseudo-Jacobi operators and Osserman lightlike hypersurfaces. Kodai Math. J., Tome 32 (2009) no. 1, pp.  91-108. http://gdmltest.u-ga.fr/item/1238594548/