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On Flat Surfaces in S13 and H13

  • Marcos Dajczer
  • Katsumi Nomizu
Part of the Progress in Mathematics book series (PM, volume 14)

Abstract

The main purpose of the present paper is to study isometric immersions of the Euclidean plane E2 and the Lorentzian plane L2 into the 3-dimensional Lorentzian manifolds S3 1 and H3 1, of constant sectional curvature 1 and -1, respectively.

Keywords

Shape Operator Isometric Immersion Constant Sectional Curvature Parameter Subgroup Frame Field 
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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References

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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • Marcos Dajczer
    • 1
    • 2
  • Katsumi Nomizu
    • 1
    • 2
  1. 1.Instituto de Matemática Pura e AplicadaRio de JaneiroBrazil
  2. 2.Brown UniversityProvidenceUSA

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