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Examples of 1-codimensional non totally geodesic isometric immersions of pseudo-riemannian space forms with the same positive constant curvature and the same space-like rank

  • Marcos Dajczer
  • Peter Dombrowski
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1156)

Keywords

Fundamental Group Fundamental Form Constant Curvature Warped Product Isometric Immersion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

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    P. DOMBROWSKI: Jacobi Fields, Geodesic Foliations and Geodesic Differential Form, Resultate, Math. 1, 156–194 (1978; Zbl. 408.53027).MathSciNetCrossRefzbMATHGoogle Scholar
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    D. FERUS: Isometric Immersions of Constant Curvature Manifolds, Math. Ann. 217, 155–156, (1975; Zbl. 295.53026).MathSciNetCrossRefzbMATHGoogle Scholar
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    L. GRAVES: Codimension One Isometric Immersions Between Lorentz Spaces. Ph. D. Thesis, Department of Mathematics, Brown University, (1977).Google Scholar
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    L. GRAVES and K. NOMIZU: Isometric Immersions of Lorentzian Space Forms, Math. Ann. 233, 125–136, (1978; Zbl. 354.53046).MathSciNetCrossRefzbMATHGoogle Scholar
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    S. KOBAYASHI and K. NOMIZU: Foundations of Differential Geometry, Vol. II, J. Wiley and Sons, New York, (1969).zbMATHGoogle Scholar
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    J.A. WOLF: Spaces of Constant Curvature, Mc Graw Hill, New York, (1967).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Marcos Dajczer
    • 1
  • Peter Dombrowski
    • 2
  1. 1.IMPARio de JaneiroBrazil
  2. 2.Math. InstitutUniversität zu KölnKöln 41Germany

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