Geodesic
P.J. Ryan's problem in semi-Riemannian space forms
Glasgow mathematical journal, Tome 41 (1999) no. 2, pp. 271-281

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We prove that the conditions R·R=0 and R·S=0 are equivalent for hypersurfaces of a 5-dimensional semi-Riemannian space form N5(c). This solves a problem by P.J. Ryan in the case of hypersurfaces of dimension 4 in semi-Riemannian space forms. 
Defever, F.; Deszcz, R.; Sentürk, Z.; Verstraelen, L.; Yaprak, S. P.J. Ryan's problem in semi-Riemannian space forms. Glasgow mathematical journal, Tome 41 (1999) no. 2, pp. 271-281. doi: 10.1017/S0017089599970969
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     author = {Defever, F. and Deszcz, R. and Sent\"urk, Z. and Verstraelen, L. and Yaprak, S.},
     title = {P.J. {Ryan's} problem in {semi-Riemannian} space forms},
     journal = {Glasgow mathematical journal},
     pages = {271--281},
     year = {1999},
     volume = {41},
     number = {2},
     doi = {10.1017/S0017089599970969},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089599970969/}
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