On principle of inertia in closed universe

Abstract: If our universe is asymptotic to a de Sitter space, it should be closed with curvature in in view of dS special relativity. Conversely, its evolution can fix on Beltrami systems of inertia in the ds-space without Einstein''s ‘argument in a circle’. Gravity should be local ds-invariant based on localization of the principle of inertia. [Copyright &y& Elsevier]