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Separation-Preserving Transformations of De Sitter Spacetime

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References

  1. A. D. Alexandrov, A Contribution to Chronogeometry, Can. J. Math.19, 1119 to 1128 (1967).

    MathSciNet  Google Scholar 

  2. W. Benz, A Characterization of Plane Lorentz Transformations, J. Geom.10, 45–55 (1977).

    Article  MATH  MathSciNet  Google Scholar 

  3. —, Zur Charakterisierung der Lorentztransformationen, J. Geometry9, 29–37 (1977).

    Article  MATH  MathSciNet  Google Scholar 

  4. —, A Beckman-Quarles-Type Theorem for plane Lorentz Transformations, Math. Zeitschrift177, 101–106 (1981).

    Article  MATH  MathSciNet  Google Scholar 

  5. —, Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des ℝn, Arohiv der Math.34, 550–559 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  6. H. S. M. Coxeter, A Geometrical Background for de Sitter’s World, Am. Math. Monthly50, 217–228 (1943).

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Hawking andG. F. E. Ellis, The Large Scale Structure of Spacetime, Camb. Univ. Press, Cambridge, 1973.

    Google Scholar 

  8. J. A. Lester, Conformai Spaces, J. Geometry14, 108–117 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  9. —, A Physical Characterization of Conformai Transformations of Minkowski Spacetime, Annales of Discrete Mathematics18, 567–574 (1983).

    MATH  MathSciNet  Google Scholar 

  10. —, Cone-Preserving Mappings for Quadratic Cones over Arbitrary Fields, Can. J. Math.29, 1247–1253 (1977).

    MATH  MathSciNet  Google Scholar 

  11. -, Transformations ofn-Space Which Preserve a Fixed Square-Distance, Can. J. Math.81, 392–395.

  12. —, The Beckman-Quarles Theorem in Minkowski Space for a Spacelike Square-Distance, Archiv der Math.87, 561–567 (1981).

    Article  Google Scholar 

  13. H. SchAEFER, Über eine Verallgemeinerung des Fundamentalsatzes in desargues- schen affinen Ebenen, Beiträge zur Geometrie und Algebra Nr. 6, Institut für Mathematik, Technische Universität München 36-41 (1980).

  14. E. M. Schröder, Zur Kennzeichnung der Lorentztransformationen, Aeq. Math.19, 134–144 (1979).

    Article  MATH  Google Scholar 

  15. E. Snapper andR. J. Troyer, Metric Affine Geometry, (Academic Press, 1971).

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  1. Dept. Pure Mathematics, University of Waterloo, Ontario N 2 L 3 G 1, Waterloo, Canada

    J. A. Lester

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  1. J. A. Lester
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Lester, J.A. Separation-Preserving Transformations of De Sitter Spacetime. Abh.Math.Semin.Univ.Hambg. 53, 217–224 (1983). https://doi.org/10.1007/BF02941320

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