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On semisymmetric para-Kähler manifolds

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References

  1. F. Defever, R. Deszcz, On semi-Riemannian manifolds satisfying the conditionR · R=Q(S, R), Geometry and Topology of Submanifolds,3 (1991), 108–130.

    Google Scholar 

  2. R. Deszcz, Pseudosymmetry curvature conditions imposed on the shape operators of hypersurfaces in the affine space,Results in Math.,20 (1991), 600–621.

    Google Scholar 

  3. R. Deszcz, L. Verstraelen, Hypersurfaces of semi-Riemannian conformally flat manifolds,Geometry and Topology of Submanifolds,3 (1990), 131–147.

    Google Scholar 

  4. R. Deszcz, On pseudosymmetric spaces,Bull. Belg. Math. Soc.,A44 (1992), 1–34.

    Google Scholar 

  5. M. A. Magid, Lorentzian isoparametric hypersurfaces,Pacific J. Math.,118 (1985), 165–197.

    MATH  Google Scholar 

  6. Y. Matsuyama, Complete hypersurfaces withR · S=0 in En+1,Proc. Amer. Math. Soc.,88 (1983), 119–123.

    Article  MATH  Google Scholar 

  7. W. Roter, On generalized curvature tensors on some Riemannian manifolds,Colloquium Math.,37 (1977), 233–240.

    MATH  Google Scholar 

  8. P. J. Ryan, Hypersurfaces with parallel Ricci tensor,Osaka J. Math.,8 (1971), 251–259.

    MATH  Google Scholar 

  9. P. J. Ryan, A class of complex hypersurfaces,Colloquium Math.,26 (1972), 175–182.

    MATH  Google Scholar 

  10. S. Sawaki, K. Sekigawa, Almost Hermitian manifolds with constant holomorphic sectional curvature,J. Diff. Geom.,9 (1974), 123–134.

    MATH  Google Scholar 

  11. Z. I. Szabó, Structure theorems on Riemannian spaces satisfyingR(X, Y) ·R=0. I. The local version,J. Diff. Geom.,17 (1982), 531–582.

    MATH  Google Scholar 

  12. S. Tanno, Hypersurfaces satisfying a certain condition on the Ricci tensor,Tôhoku Math. J.,21 (1969), 297–303.

    MATH  Google Scholar 

  13. L. Verstraelen, Comments on pseudosymmetry in the sense of Ryszard Deszcz,Geometry and Topology of Submanifolds,6 (1994), 199–209.

    Google Scholar 

  14. H. Yanamoto, An orientable hypersurface in R7 satisfyingR(X, Y) · F=0,Res. Rep. Nagaoka Tech. College,8 (1972), 9–14.

    Google Scholar 

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Authors and Affiliations

  1. Instituut Voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001, Leuven, Belgium

    F. Defever

  2. Katedra Matematyki, Akademia Rolnicza, Ul. Grunwaldzka 53, PL-50-375, Wrocław, Poland

    R. Deszcz

  3. Afdeling Voor Zuivere En, Toegepaste Differentiaalmeetkunde, Celestijnenlaan 200 B, B-3001, Leuven, Belgium

    L. Verstraelen

Authors
  1. F. Defever
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  2. R. Deszcz
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  3. L. Verstraelen
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Additional information

Postdoctoraal onderzoeker N.F.W.O., Belgium.

Supported by a research-grant of the Research Council of the Katholieke Universiteit Leuven.

Research supported by the grant OT/TBA/95/9 of the Research Council of the Katholieke Universiteit Leuven.

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Defever, F., Deszcz, R. & Verstraelen, L. On semisymmetric para-Kähler manifolds. Acta Math Hung 74, 7–17 (1997). https://doi.org/10.1007/BF02697871

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  • DOI: https://doi.org/10.1007/BF02697871

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