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I How to embed the universe in R^4

  1. Apr 3, 2017 #1
    I got a quick question.

    The universe can have different geometries, as I understood it.
    And we don't need to embed these structures in any larger space, they "exist on their own" (in a mathematical sense). However my question is the following:

    How would one embed the hyperbolic alternative for our spatial universe in R^4?

    The spherical alternative seems obvious, x_1^2+x_2^2+x_3^2+x_4^2 = 1.

    Whats the corresponding equation for the hyperbolic geometry?

  2. jcsd
  3. Apr 3, 2017 #2


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