Some examples of indefinite complete complex Einstein hypersurfaces not locally symmetric

Some examples of indefinite complete complex Einstein hypersurfaces not locally symmetric
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Proc. Amer. Math. Soc. 98 (1986), 283-286

DOI: https://doi.org/10.1090/S0002-9939-1986-0854034-6

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Some examples of indefinite complete complex Einstein hypersurfaces of an indefinite complex flat space which are not locally symmetric are given.

References

Manuel Barros and Alfonso Romero, Indefinite Kähler manifolds, Math. Ann. 261 (1982), no. 1, 55–62. MR 675207, DOI 10.1007/BF01456410
M. Cahen and M. Parker, Sur des classes d’espaces pseudo-riemanniens symétriques, Bull. Soc. Math. Belg. 22 (1970), 339–354 (French). MR 286031
S. Montiel and A. Romero, Complex Einstein hypersurfaces of indefinite complex space forms, Math. Proc. Cambridge Philos. Soc. 94 (1983), no. 3, 495–508. MR 720800, DOI 10.1017/S0305004100000888
Katsumi Nomizu, On hypersurfaces satisfying a certain condition on the curvature tensor, Tohoku Math. J. (2) 20 (1968), 46–59. MR 226549, DOI 10.2748/tmj/1178243217
Brian Smyth, Differential geometry of complex hypersurfaces, Ann. of Math. (2) 85 (1967), 246–266. MR 206881, DOI 10.2307/1970441
Brian Smyth, Homogeneous complex hypersurfaces, J. Math. Soc. Japan 20 (1968), 643–647. MR 232326, DOI 10.2969/jmsj/02040643