We review on the main geometric properties of the space-time of constant curvature which is the foundation of the inflationary cosmological model. We show e.g.: The spatially flat Friedmann model with exponentially increasing scale factor is only a local description for the de Sitter space-time, whereas the closed Friedmann model can lead to a global description.
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Hans‐Jürgen Schmidt (1993) studied this question.
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