Three-Dimensional Hyperbolic Space

  • Jürgen Elstrodt
  • Fritz Grunewald
  • Jens Mennicke
Part of the Springer Monographs in Mathematics book series (SMM)


Three-dimensional hyperbolic space is the unique 3-dimensional connected and simply connected Riemannian manifold with constant sectional curvature equal to —1. This space has certain concrete models which all have certain advantages. We discuss here the four most classical ones.


Quadratic Form Hyperbolic Space Clifford Algebra Hyperbolic Geometry Commutator Subgroup 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Jürgen Elstrodt
    • 1
  • Fritz Grunewald
    • 2
  • Jens Mennicke
    • 3
  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany
  2. 2.Mathematisches InstitutUniversität DüsseldorfDüsseldorfGermany
  3. 3.Fakultät für MathematikUniversität BielefeldBielefeldGermany

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