Abstract
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.
Citation
Cyriaque Atindogbe. Krishan L. Duggal. "Pseudo-Jacobi operators and Osserman lightlike hypersurfaces." Kodai Math. J. 32 (1) 91 - 108, March 2009. https://doi.org/10.2996/kmj/1238594548
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