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Hyperbolic plane

Hyperbolic plane

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In mathematics, the term hyperbolic plane may refer to:
  • A two-dimensional plane in hyperbolic geometry
  • A two-dimensional plane in Minkowski space
    Minkowski space
    In physics and mathematics, Minkowski space or Minkowski spacetime is the mathematical setting in which Einstein's theory of special relativity is most conveniently formulated...

     (the plane of the hyperbolic numbers)
  • A two-dimensional quadratic space with a non-singular isotropic quadratic form
    Isotropic quadratic form
    In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which it evaluates to zero. Otherwise the quadratic form is anisotropic. More precisely, if q is a quadratic form on a vector space V over F, then a non-zero vector v in V is said to be...