Radius of curvature

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The radius of curvature in our universe might be:

  • positive; a positive curvature implies closed space, a universe with a definite, finite volume but with no boundary.
  • negative; a negative curvature implies open space, an infinite universe.
  • zero; the limiting case of zero curvature is `flat' Euclidean space with an infinite radius.
    There are various types of curvature, and, in all but flat space, the amount of curvature has a wide range of possible values.[1]


  1. Edwin Hubble (1937). The Observational Approach to Cosmology. Oxford University Press.