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Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field

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References

  1. CHEN, B.Y.:Finite-type pseudo-Riemannian submanifolds. Tamkang J. of Math.17 (1986), 137–151.

    Google Scholar 

  2. CHEN, B.Y.:Some open problems and conjectures on submanifolds of finite type, 1991. University of Michigan.

  3. CHEN, B.Y. and ISHIKAWA, S.:Biharmonic surfaces in pseudo-Euclidean spaces. Special issue dedicated to Prof. T. Otsuki on the occasion of his 75th birthday.

  4. DAJCZER, M. and NOMUZU, K.:On flat surfaces in S 31 and H 31 . InManifolds and Lie Groups, pages 71–108, Univ. Notre Dame, Indiana, Birkhäuser, 1981.

    Google Scholar 

  5. DIMITRIC, I.:Quadric representation and submanifolds of finite type. PhD thesis, Michigan State University, 1989.

  6. FERRANDEZ, A., GARAY, O.J. and LUCAS, P.:On a certain class of conformally flat Euclidean hypersurfaces. In Ferus, Pinkall, Simon and Wegner, editors,Global Differential Geometry and Global Analysis, Berlin 1990, pages 48–54, 1991. Lecture Notes in Mathematics, n. 1481.

  7. FERRANDEZ, A. and LUCAS, P.:Classifying hypersurfaces in the Lorentz-Minkowski space with a characteristic eigenvector. Tokyo J. Math.15 (1992), 451–459.

    Google Scholar 

  8. FERRANDEZ, A. and LUCAS, P.:Null finite type hypersurfaces in space forms. Kodai Math. J.14 (1991), 406–419.

    Google Scholar 

  9. FERRANDEZ, A. and LUCAS, P.:On surfaces in the 3-dimensional Lorentz-Minkowski space. Pacific J. Math.152 (1992), 93–100.

    Google Scholar 

  10. MAGID, M.A.:Isometric immersions of Lorentz space with parallel second fundamental forms. Tsukuba J. Math.8 (1984), 31–54.

    Google Scholar 

  11. MAGID, M.A.:Lorentzian isoparametric hypersurfaces. Pacific J. Math.118 (1985), 165–197.

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100, Espinardo, Murcia, Spain

    Luis J. Alías, Angel Ferrández & Pascual Lucas

Authors
  1. Luis J. Alías
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  2. Angel Ferrández
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  3. Pascual Lucas
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Supported by an FPPI Grant, Programa PG, Ministerio de Educación y Ciencia.

Partially supported by a DGICYT Grant No. PB91-0705-C02-02.

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Alías, L.J., Ferrández, A. & Lucas, P. Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field. J Geom 52, 10–24 (1995). https://doi.org/10.1007/BF01406822

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  • DOI: https://doi.org/10.1007/BF01406822

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